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130338324 = 223218731933
BaseRepresentation
bin1111100010011…
…00111000010100
3100002020212120100
413301030320110
5231331311244
620533334100
73141600054
oct761147024
9302225510
10130338324
1167633126
1237797330
132100678c
141344b564
15b698b69
hex7c4ce14

130338324 has 36 divisors (see below), whose sum is σ = 329812756. Its totient is φ = 43400448.

The previous prime is 130338317. The next prime is 130338349. The reversal of 130338324 is 423833031.

130338324 is a `hidden beast` number, since 1 + 3 + 0 + 338 + 324 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37601424 + 92736900 = 6132^2 + 9630^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 66462 + ... + 68394.

Almost surely, 2130338324 is an apocalyptic number.

It is an amenable number.

130338324 is an abundant number, since it is smaller than the sum of its proper divisors (199474432).

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

130338324 is a wasteful number, since it uses less digits than its factorization.

130338324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816 (or 3811 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 130338324 is about 11416.5810994360. The cubic root of 130338324 is about 507.0187778253.

The spelling of 130338324 in words is "one hundred thirty million, three hundred thirty-eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1873 1933 3746 3866 5619 5799 7492 7732 11238 11598 16857 17397 22476 23196 33714 34794 67428 69588 3620509 7241018 10861527 14482036 21723054 32584581 43446108 65169162 130338324