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34817291268 = 22331187949811
BaseRepresentation
bin100000011011010001…
…011011010000000100
310022212110212122200020
4200123101123100010
51032301211310033
623554515215140
72341543043544
oct403321332004
9108773778606
1034817291268
11138474a9291
1268b82a74b0
13338b411bc6
141984149324
15d8b9de6b3
hex81b45b404

34817291268 has 48 divisors (see below), whose sum is σ = 83907317760. Its totient is φ = 11225181600.

The previous prime is 34817291239. The next prime is 34817291293. The reversal of 34817291268 is 86219271843.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34817291268.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 674083 + ... + 723893.

It is an arithmetic number, because the mean of its divisors is an integer number (1748069120).

Almost surely, 234817291268 is an apocalyptic number.

It is an amenable number.

34817291268 is an abundant number, since it is smaller than the sum of its proper divisors (49090026492).

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

34817291268 is a wasteful number, since it uses less digits than its factorization.

34817291268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51728 (or 51726 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The spelling of 34817291268 in words is "thirty-four billion, eight hundred seventeen million, two hundred ninety-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 1879 3758 5637 7516 11274 22548 49811 58249 99622 116498 149433 174747 199244 232996 298866 349494 597732 698988 1544141 3088282 4632423 6176564 9264846 18529692 93594869 187189738 280784607 374379476 561569214 1123138428 2901440939 5802881878 8704322817 11605763756 17408645634 34817291268