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164505328 = 24131746523
BaseRepresentation
bin10011100111000…
…10011011110000
3102110112201212221
421303202123300
5314103132303
624153530424
74035162241
oct1163423360
9373481787
10164505328
118494a319
1247113a14
132810a340
1417bc2cc8
15e6974bd
hex9ce26f0

164505328 has 40 divisors (see below), whose sum is σ = 363445488. Its totient is φ = 71457792.

The previous prime is 164505283. The next prime is 164505347. The reversal of 164505328 is 823505461.

164505328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (34) 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 (34).

It is a junction number, because it is equal to n+sod(n) for n = 164505293 and 164505302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19726 + ... + 26797.

Almost surely, 2164505328 is an apocalyptic number.

It is an amenable number.

164505328 is an abundant number, since it is smaller than the sum of its proper divisors (198940160).

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

164505328 is a wasteful number, since it uses less digits than its factorization.

164505328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46561 (or 46555 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 164505328 is about 12825.9630437640. The cubic root of 164505328 is about 547.9319893575.

The spelling of 164505328 in words is "one hundred sixty-four million, five hundred five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 46523 93046 186092 372184 604799 744368 790891 1209598 1581782 2419196 3163564 4838392 6327128 9676784 10281583 12654256 20563166 41126332 82252664 164505328