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164349160 = 23520272
BaseRepresentation
bin10011100101111…
…00010011101000
3102110020210122221
421302330103220
5314033133120
624150323424
74033642033
oct1162742350
9373223587
10164349160
1184852a58
1247059574
1328084231
1417b8201a
15e6660aa
hex9cbc4e8

164349160 has 24 divisors (see below), whose sum is σ = 369968130. Its totient is φ = 65707232.

The previous prime is 164349109. The next prime is 164349179. The reversal of 164349160 is 61943461.

164349160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 147914244 + 16434916 = 12162^2 + 4054^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 80067 + ... + 82093.

Almost surely, 2164349160 is an apocalyptic number.

164349160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164349160 is an abundant number, since it is smaller than the sum of its proper divisors (205618970).

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

164349160 is an frugal number, since it uses more digits than its factorization.

164349160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4065 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 164349160 is about 12819.8736343226. The cubic root of 164349160 is about 547.7585470830.

The spelling of 164349160 in words is "one hundred sixty-four million, three hundred forty-nine thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 2027 4054 8108 10135 16216 20270 40540 81080 4108729 8217458 16434916 20543645 32869832 41087290 82174580 164349160