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34232830656 = 263179996067
BaseRepresentation
bin11111111000011011…
…111000101011000000
310021100202002222102220
4133320123320223000
51030102101040111
623420520211040
72321215155003
oct377033705300
9107322088386
1034232830656
11135775a4392
126774609a80
1332c72c731b
14192a68953a
15d55540e06
hex7f86f8ac0

34232830656 has 56 divisors (see below), whose sum is σ = 91080457920. Its totient is φ = 11347183872.

The previous prime is 34232830601. The next prime is 34232830693. The reversal of 34232830656 is 65603823243.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 463666 + ... + 532401.

Almost surely, 234232830656 is an apocalyptic number.

It is an amenable number.

34232830656 is an abundant number, since it is smaller than the sum of its proper divisors (56847627264).

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

34232830656 is a wasteful number, since it uses less digits than its factorization.

34232830656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996261 (or 996251 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 34232830656 in words is "thirty-four billion, two hundred thirty-two million, eight hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 179 192 358 537 716 1074 1432 2148 2864 4296 5728 8592 11456 17184 34368 996067 1992134 2988201 3984268 5976402 7968536 11952804 15937072 23905608 31874144 47811216 63748288 95622432 178295993 191244864 356591986 534887979 713183972 1069775958 1426367944 2139551916 2852735888 4279103832 5705471776 8558207664 11410943552 17116415328 34232830656