Numbers 350,000s

A page of the Numeropedia - the Special Encyclopedia of Numbers

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350,385

[Math.]  Two consecutive sums of consecutive numbers: 4900+…+4970 = 4971+…+5040 = 350,385.

 

351,352

[Math.]  123,448,227,904 = (123,448+227,904)2 = 351,3522  and

420,744,227,904 = (420,744+227,904)2 = 648,6482 and 351352+648648 = 1,000,000.

 

354,025

[Math.]  Sum of the first 34 cube numbers:

13+23+…+333+343 = 354,025 = (1+2+…+33+34)2 = 5952.

 

355,419

[Math.]  The 32nd Keith number.

 

356,408

[Math.]  A pair of amicable numbers (356408, 399592).

 

356,643

[Math.]  127,194,229,449 = (127194+229449)2 = 356,6432 and

413,908,229,449 = (413908+229449)2 = 643,3572 and 356,643+643357 = 1,000,000.

 

357,911

[Math.]   The number 357,911 is formed by 5 consecutive odd numbers and 357,911 = (3+57+9+1+1)3 = 713.

 

358,336  

[Math.]  The 2nd known amicable/sociable number chain: 14316 → 19116 → 31704 → 47616 → 83328 → 177792 → 295488 → 629072 → 589786 → 294896 → 358336 → 418904 → 366556 → 274924 → 275444 → 243760 → 376736 → 381028 → 285778 → 152990 → 122410 → 97946 → 48976 → 45946 → 22976 → 22744 → 19916 → 17716 → 14316. (of 28 links, currently the longest, found by Poulet, 1918).