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34502301132 = 223132149227503
BaseRepresentation
bin100000001000011111…
…110101010111001100
310022001112011111102220
4200020133311113030
51031130042114012
623503344015340
72330666502135
oct401037652714
9108045144386
1034502301132
11136a5716562
12682a901550
13333b096100
141954392c8c
15d6e01e08c
hex8087f55cc

34502301132 has 144 divisors (see below), whose sum is σ = 88321363200. Its totient is φ = 10477519104.

The previous prime is 34502301121. The next prime is 34502301149. The reversal of 34502301132 is 23110320543.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68592793 + ... + 68593295.

It is an arithmetic number, because the mean of its divisors is an integer number (613342800).

Almost surely, 234502301132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34502301132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44160681600).

34502301132 is an abundant number, since it is smaller than the sum of its proper divisors (53819062068).

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

34502301132 is a wasteful number, since it uses less digits than its factorization.

34502301132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 34502301132 its reverse (23110320543), we get a palindrome (57612621675).

The spelling of 34502301132 in words is "thirty-four billion, five hundred two million, three hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 149 156 169 227 298 338 447 454 503 507 596 676 681 894 908 1006 1014 1362 1509 1788 1937 2012 2028 2724 2951 3018 3874 5811 5902 6036 6539 7748 8853 11622 11804 13078 17706 19617 23244 25181 26156 33823 35412 38363 39234 50362 67646 74947 75543 76726 78468 85007 100724 101469 114181 115089 135292 149894 151086 153452 170014 202938 224841 228362 230178 255021 299788 302172 340028 342543 405876 439699 449682 456724 460356 510042 685086 879398 899364 974311 1020084 1319097 1370172 1484353 1758796 1948622 2638194 2922933 2968706 3897244 4453059 5276388 5716087 5845866 5937412 8906118 11432174 11691732 12666043 17012969 17148261 17812236 19296589 22864348 25332086 34025938 34296522 37998129 38593178 50664172 51038907 57889767 68051876 68593044 75996258 77186356 102077814 115779534 151992516 204155628 221168597 231559068 442337194 663505791 884674388 1327011582 2654023164 2875191761 5750383522 8625575283 11500767044 17251150566 34502301132