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164430936 = 233217134339
BaseRepresentation
bin10011100110100…
…00010001011000
3102110101221211200
421303100101120
5314043242221
624152154200
74034432325
oct1163202130
9373357750
10164430936
11848a943a
1247098960
13280b2517
1417ba3b4c
15e680426
hex9cd0458

164430936 has 48 divisors (see below), whose sum is σ = 471533400. Its totient is φ = 51585792.

The previous prime is 164430911. The next prime is 164430943. The reversal of 164430936 is 639034461.

164430936 is a `hidden beast` number, since 1 + 644 + 3 + 0 + 9 + 3 + 6 = 666.

It is a super-3 number, since 3×1644309363 (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 164430936.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65946 + ... + 68393.

Almost surely, 2164430936 is an apocalyptic number.

It is an amenable number.

164430936 is an abundant number, since it is smaller than the sum of its proper divisors (307102464).

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

164430936 is a wasteful number, since it uses less digits than its factorization.

164430936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134368 (or 134361 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 164430936 is about 12823.0626606907. The cubic root of 164430936 is about 547.8493823016.

The spelling of 164430936 in words is "one hundred sixty-four million, four hundred thirty thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 134339 268678 403017 537356 806034 1074712 1209051 1612068 2283763 2418102 3224136 4567526 4836204 6851289 9135052 9672408 13702578 18270104 20553867 27405156 41107734 54810312 82215468 164430936