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164309172 = 22317379147
BaseRepresentation
bin10011100101100…
…10100010110100
3102110011202210220
421302302202310
5314030343142
624145414340
74033414326
oct1162624264
9373152726
10164309172
1184825a05
124703a3b0
132806bc81
1417b71616
15e6592ec
hex9cb28b4

164309172 has 24 divisors (see below), whose sum is σ = 385609056. Its totient is φ = 54452448.

The previous prime is 164309153. The next prime is 164309179. The reversal of 164309172 is 271903461.

164309172 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164309179) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 37498 + ... + 41649.

It is an arithmetic number, because the mean of its divisors is an integer number (16067044).

Almost surely, 2164309172 is an apocalyptic number.

164309172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164309172 is an abundant number, since it is smaller than the sum of its proper divisors (221299884).

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

164309172 is a wasteful number, since it uses less digits than its factorization.

164309172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79327 (or 79325 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 164309172 is about 12818.3139296867. The cubic root of 164309172 is about 547.7141182067.

The spelling of 164309172 in words is "one hundred sixty-four million, three hundred nine thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 173 346 519 692 1038 2076 79147 158294 237441 316588 474882 949764 13692431 27384862 41077293 54769724 82154586 164309172