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240000 - 249999

240000

12 + 22 + ... + 2400002 = 4608028800040000, which consists of even digits (the fourth 16-digit sum and there are such 5 sums in all.)

Page of Squares : First Upload March 30, 2013 ; Last Revised March 30, 2013
by Yoshio Mimura, Kobe, Japan

240244

2402442 = 57717179536, a square with odd digits except the last digit 6.

Page of Squares : First Upload September 21, 2013 ; Last Revised September 21, 2013
by Yoshio Mimura, Kobe, Japan

240982

2409822 = 5086 * 5087 + 5088 * 5089 + 5090 * 5091 + 5092 * 5093 + ... + 7828 * 7829.

Page of Squares : First Upload March 30, 2013 ; Last Revised March 30, 2013
by Yoshio Mimura, Kobe, Japan

240983

12 + 22 + ... + 2409832 = 4664882062424004, which consists of even digits (the fifth 16-digit sum and there are such 5 sums in all.)

Page of Squares : First Upload March 30, 2013 ; Last Revised March 30, 2013
by Yoshio Mimura, Kobe, Japan

241920

A cubic polynomial:
(X + 352)(X + 722)(X + 962) = X3 + 1252X2 +80882X + 2419202.

Page of Squares : First Upload March 30, 2013 ; Last Revised March 30, 2013
by Yoshio Mimura, Kobe, Japan

242064

242064 = 4922, a square with even digits.

Page of Squares : First Upload March 30, 2013 ; Last Revised March 30, 2013
by Yoshio Mimura, Kobe, Japan

242872

2428722 = 58986808384, a square pegged by 8.

Page of Squares : First Upload March 30, 2013 ; Last Revised March 30, 2013
by Yoshio Mimura, Kobe, Japan

243146

2431462 = 59119977316, a square with odd digits except the last digit 6.

Page of Squares : First Upload September 21, 2013 ; Last Revised September 21, 2013
by Yoshio Mimura, Kobe, Japan

243168

2431682 = 322*323*324 + 324*325*326 + 326*327*328 + 328*329*330 + ... + 832*833*834.

Page of Squares : First Upload October 26, 2013 ; Last Revised October 26, 2013
by Yoshio Mimura, Kobe, Japan

243515

2435152 = 59299555225, a square with 3 kinds of digits.

Page of Squares : First Upload March 30, 2013 ; Last Revised March 30, 2013
by Yoshio Mimura, Kobe, Japan

243666

2436662 = 59373119556, a square with odd digits except the last digit 6.

Page of Squares : First Upload September 21, 2013 ; Last Revised September 21, 2013
by Yoshio Mimura, Kobe, Japan

243672

2436722 = 1692*1693*1694 + 1694*1695*1696 + 1696*1697*1698 + 1698*1699*1700 + ... + 1714*1715*1716.

Page of Squares : First Upload October 26, 2013 ; Last Revised October 26, 2013
by Yoshio Mimura, Kobe, Japan

244038

2440382 = 59554545444, a square with 3 kinds of digits.

Page of Squares : First Upload March 30, 2013 ; Last Revised March 30, 2013
by Yoshio Mimura, Kobe, Japan

244086

2440862 = 59577975396, a square with odd digits except the last digit 6.

Page of Squares : First Upload September 21, 2013 ; Last Revised September 21, 2013
by Yoshio Mimura, Kobe, Japan

244176

The quadratic polynomial 244176X2 - 1920576X + 4278169 takes the values 16132, 11892, 8452, 7092, 8832, 12432 at X = 1, 2,..., 6.

Page of Squares : First Upload March 30, 2013 ; Last Revised March 30, 2013
by Yoshio Mimura, Kobe, Japan

244866

2448662 = 59959357956, a square with odd digits except the last digit 6.

Page of Squares : First Upload September 21, 2013 ; Last Revised September 21, 2013
by Yoshio Mimura, Kobe, Japan

244998

2449982 = 60024020004, a square with even digits.

Page of Squares : First Upload March 30, 2013 ; Last Revised March 30, 2013
by Yoshio Mimura, Kobe, Japan

246401

(2464012 -1) = (82 - 1)(112 - 1)(122 - 1)(142 - 1)(172 - 1)
= (32 - 1)(42 - 1)(82 - 1)(122 - 1)(142 - 1)(172 - 1)
= (22 - 1)(42 - 1)(122 - 1)(132 - 1)(142 - 1)(172 - 1).

Page of Squares : First Upload March 30, 2013 ; Last Revised March 30, 2013
by Yoshio Mimura, Kobe, Japan

246540

2465402 = 1289 * 1290 + 1291 * 1292 + 1293 * 1294 + 1295 * 1296 + ... + 7157 * 7158.

Page of Squares : First Upload March 30, 2013 ; Last Revised March 30, 2013
by Yoshio Mimura, Kobe, Japan

246675

2466752 = 60848555625, and 6084 = 782, 8555625= 29252.

Page of Squares : First Upload March 30, 2013 ; Last Revised March 30, 2013
by Yoshio Mimura, Kobe, Japan

248004

248004 = 4982, a square with even digits.

Page of Squares : First Upload March 30, 2013 ; Last Revised March 30, 2013
by Yoshio Mimura, Kobe, Japan

248687

2486872 = 415 + 1155 + 1335.

Page of Squares : First Upload September 21, 2013 ; Last Revised September 21, 2013
by Yoshio Mimura, Kobe, Japan

248998

2489982 = 62000004004, a square consisting of even digits.

Page of Squares : First Upload March 30, 2013 ; Last Revised March 30, 2013
by Yoshio Mimura, Kobe, Japan

249002

2490022 = 62001996004, and 62001 = 2492, 996004 = 9982.

Page of Squares : First Upload March 30, 2013 ; Last Revised March 30, 2013
by Yoshio Mimura, Kobe, Japan

249092

2490922 = 62046824464, a sqaure with even digits.

Page of Squares : First Upload March 30, 2013 ; Last Revised March 30, 2013
by Yoshio Mimura, Kobe, Japan

249932

2499322 = 62466004624, a sqaure with even digits.

Page of Squares : First Upload March 30, 2013 ; Last Revised March 30, 2013
by Yoshio Mimura, Kobe, Japan