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164165312 = 264162563
BaseRepresentation
bin10011100100011…
…11011011000000
3102102220110110202
421302033123000
5314011242222
624142344332
74032245033
oct1162173300
9372813422
10164165312
1184737913
1246b8b0a8
132801b64c
1417b3501a
15e62b892
hex9c8f6c0

164165312 has 28 divisors (see below), whose sum is σ = 333716376. Its totient is φ = 80079360.

The previous prime is 164165297. The next prime is 164165333. The reversal of 164165312 is 213561461.

It is a happy number.

164165312 is digitally balanced in base 3, 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 (29) coincides with the sum of the digits of its distinct prime factors.

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 3 ways as a sum of consecutive naturals, for example, 28658 + ... + 33905.

It is an arithmetic number, because the mean of its divisors is an integer number (11918442).

Almost surely, 2164165312 is an apocalyptic number.

It is an amenable number.

164165312 is an abundant number, since it is smaller than the sum of its proper divisors (169551064).

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

164165312 is an equidigital number, since it uses as much as digits as its factorization.

164165312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62616 (or 62606 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 164165312 is about 12812.7011984203. The cubic root of 164165312 is about 547.5542221620.

The spelling of 164165312 in words is "one hundred sixty-four million, one hundred sixty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2624 62563 125126 250252 500504 1001008 2002016 2565083 4004032 5130166 10260332 20520664 41041328 82082656 164165312