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327814164 = 22329105949
BaseRepresentation
bin10011100010100…
…000110000010100
3211211211200111100
4103202200300110
51132410023124
652310110100
711060242266
oct2342406024
9754750440
10327814164
111590516a7
129194b330
1352bb8ba2
1431773b36
151dba51c9
hex138a0c14

327814164 has 18 divisors (see below), whose sum is σ = 828641450. Its totient is φ = 109271376.

The previous prime is 327814141. The next prime is 327814211. The reversal of 327814164 is 461418723.

It can be written as a sum of positive squares in only one way, i.e., 198810000 + 129004164 = 14100^2 + 11358^2 .

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

It is a super-2 number, since 2×3278141642 = 214924252238037792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 9105949 = 327814164 / (3 + 2 + 7 + 8 + 1 + 4 + 1 + 6 + 4).

It is a congruent number.

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, 4552939 + ... + 4553010.

Almost surely, 2327814164 is an apocalyptic number.

It is an amenable number.

327814164 is an abundant number, since it is smaller than the sum of its proper divisors (500827286).

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

327814164 is a wasteful number, since it uses less digits than its factorization.

327814164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9105959 (or 9105954 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 327814164 is about 18105.6390110926. The cubic root of 327814164 is about 689.5131789794.

The spelling of 327814164 in words is "three hundred twenty-seven million, eight hundred fourteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 9105949 18211898 27317847 36423796 54635694 81953541 109271388 163907082 327814164