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350635164 = 223113976691
BaseRepresentation
bin10100111001100…
…100010010011100
3220102210010000120
4110321210102130
51204230311124
654443154540
711455230645
oct2471442234
9812703016
10350635164
1116aa19430
1299515a50
1357849339
14347d46cc
1520bb1d79
hex14e6449c

350635164 has 48 divisors (see below), whose sum is σ = 894907776. Its totient is φ = 105969600.

The previous prime is 350635147. The next prime is 350635211. The reversal of 350635164 is 461536053.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 49059 + ... + 55749.

It is an arithmetic number, because the mean of its divisors is an integer number (18643912).

Almost surely, 2350635164 is an apocalyptic number.

It is an amenable number.

350635164 is an abundant number, since it is smaller than the sum of its proper divisors (544272612).

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

350635164 is a wasteful number, since it uses less digits than its factorization.

350635164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7106 (or 7104 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 350635164 is about 18725.2547112182. The cubic root of 350635164 is about 705.1559194398.

The spelling of 350635164 in words is "three hundred fifty million, six hundred thirty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 397 794 1191 1588 2382 4367 4764 6691 8734 13101 13382 17468 20073 26202 26764 40146 52404 73601 80292 147202 220803 294404 441606 883212 2656327 5312654 7968981 10625308 15937962 29219597 31875924 58439194 87658791 116878388 175317582 350635164