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34457460820 = 22517671512619
BaseRepresentation
bin100000000101110100…
…110010000001010100
310021221101210101002121
4200011310302001110
51031032102221240
623455102545324
72326613404306
oct400564620124
9107841711077
1034457460820
111368237a352
126817898244
1333319c6393
14194c43d976
15d6a11304a
hex805d32054

34457460820 has 48 divisors (see below), whose sum is σ = 77760768960. Its totient is φ = 12778596864.

The previous prime is 34457460767. The next prime is 34457460901. The reversal of 34457460820 is 2806475443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 733530 + ... + 779089.

It is an arithmetic number, because the mean of its divisors is an integer number (1620016020).

Almost surely, 234457460820 is an apocalyptic number.

It is an amenable number.

34457460820 is an abundant number, since it is smaller than the sum of its proper divisors (43303308140).

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

34457460820 is a wasteful number, since it uses less digits than its factorization.

34457460820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512712 (or 1512710 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 43.

The spelling of 34457460820 in words is "thirty-four billion, four hundred fifty-seven million, four hundred sixty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 67 68 85 134 170 268 335 340 670 1139 1340 2278 4556 5695 11390 22780 1512619 3025238 6050476 7563095 15126190 25714523 30252380 51429046 101345473 102858092 128572615 202690946 257145230 405381892 506727365 514290460 1013454730 1722873041 2026909460 3445746082 6891492164 8614365205 17228730410 34457460820