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164315372 = 221337412083
BaseRepresentation
bin10011100101101…
…00000011101100
3102110012002022112
421302310003230
5314031042442
624145503152
74033441364
oct1162640354
9373162275
10164315372
118482a631
1247041ab8
1328071a40
1417b739a4
15e65b082
hex9cb40ec

164315372 has 48 divisors (see below), whose sum is σ = 325954272. Its totient is φ = 71953920.

The previous prime is 164315357. The next prime is 164315383. The reversal of 164315372 is 273513461.

164315372 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 77843 + ... + 79925.

It is an arithmetic number, because the mean of its divisors is an integer number (6790714).

Almost surely, 2164315372 is an apocalyptic number.

It is an amenable number.

164315372 is a deficient number, since it is larger than the sum of its proper divisors (161638900).

164315372 is a wasteful number, since it uses less digits than its factorization.

164315372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2176 counting only the distinct ones).

The product of its digits is 15120, while the sum is 32.

The square root of 164315372 is about 12818.5557688844. Note that the first 3 decimals coincide. The cubic root of 164315372 is about 547.7210072213.

The spelling of 164315372 in words is "one hundred sixty-four million, three hundred fifteen thousand, three hundred seventy-two".

Divisors: 1 2 4 13 26 37 41 52 74 82 148 164 481 533 962 1066 1517 1924 2083 2132 3034 4166 6068 8332 19721 27079 39442 54158 77071 78884 85403 108316 154142 170806 308284 341612 1001923 1110239 2003846 2220478 3159911 4007692 4440956 6319822 12639644 41078843 82157686 164315372