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12328164 = 2232342449
BaseRepresentation
bin101111000001…
…110011100100
3212012100001200
4233001303210
511124000124
61120122500
7206534112
oct57016344
925170050
1012328164
116a60372
124166430
132728494
1418ccab2
151137bc9
hexbc1ce4

12328164 has 18 divisors (see below), whose sum is σ = 31162950. Its totient is φ = 4109376.

The previous prime is 12328163. The next prime is 12328177. The reversal of 12328164 is 46182321.

12328164 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., 7452900 + 4875264 = 2730^2 + 2208^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×123281642 = 303967255221792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12328163) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 171189 + ... + 171260.

It is an arithmetic number, because the mean of its divisors is an integer number (1731275).

Almost surely, 212328164 is an apocalyptic number.

It is an amenable number.

12328164 is an abundant number, since it is smaller than the sum of its proper divisors (18834786).

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

12328164 is a wasteful number, since it uses less digits than its factorization.

12328164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342459 (or 342454 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 12328164 is about 3511.1485300397. The cubic root of 12328164 is about 231.0110749736.

The spelling of 12328164 in words is "twelve million, three hundred twenty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 342449 684898 1027347 1369796 2054694 3082041 4109388 6164082 12328164