Search a number
-
+
349222542674346 = 233115231124123783
BaseRepresentation
bin100111101100111011011010…
…1100110101000100110101010
31200210111100102102222121202000
41033121312311212220212222
5331233130231411034341
63234422342112551430
7133362332106035625
oct11731666546504652
91623440372877660
10349222542674346
11a13004a31437a0
1233201802b52576
1311cb2710277393
14623466595cdbc
152a5912e2a28b6
hex13d9db59a89aa

349222542674346 has 64 divisors (see below), whose sum is σ = 848218842455040. Its totient is φ = 105622670556720.

The previous prime is 349222542674281. The next prime is 349222542674363. The reversal of 349222542674346 is 643476245222943.

349222542674346 is a `hidden beast` number, since 3 + 4 + 9 + 2 + 2 + 2 + 542 + 6 + 7 + 43 + 46 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561751230 + ... + 562372553.

It is an arithmetic number, because the mean of its divisors is an integer number (13253419413360).

Almost surely, 2349222542674346 is an apocalyptic number.

349222542674346 is an abundant number, since it is smaller than the sum of its proper divisors (498996299780694).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

349222542674346 is a wasteful number, since it uses less digits than its factorization.

349222542674346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124124328 (or 1124124322 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 63.

The spelling of 349222542674346 in words is "three hundred forty-nine trillion, two hundred twenty-two billion, five hundred forty-two million, six hundred seventy-four thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 523 594 1046 1569 3138 4707 5753 9414 11506 14121 17259 28242 34518 51777 103554 155331 310662 1124123783 2248247566 3372371349 6744742698 10117114047 12365361613 20234228094 24730723226 30351342141 37096084839 60702684282 74192169678 111288254517 222576509034 333864763551 587916738509 667729527102 1175833477018 1763750215527 3527500431054 5291250646581 6467084123599 10582501293162 12934168247198 15873751939743 19401252370797 31747503879486 38802504741594 58203757112391 116407514224782 174611271337173 349222542674346