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320325138 = 23372333637
BaseRepresentation
bin10011000101111…
…100011000010010
3211022202012111000
4103011330120102
51124000401023
651441402430
710636501350
oct2305743022
9738665430
10320325138
111548a7021
128b339416
1351496203
14307847d0
151d1c6243
hex1317c612

320325138 has 64 divisors (see below), whose sum is σ = 817240320. Its totient is φ = 91103616.

The previous prime is 320325121. The next prime is 320325143. The reversal of 320325138 is 831523023.

320325138 is a `hidden beast` number, since 320 + 325 + 13 + 8 = 666.

320325138 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 86256 + ... + 89892.

It is an arithmetic number, because the mean of its divisors is an integer number (12769380).

Almost surely, 2320325138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320325138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408620160).

320325138 is an abundant number, since it is smaller than the sum of its proper divisors (496915182).

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

320325138 is a wasteful number, since it uses less digits than its factorization.

320325138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 320325138 is about 17897.6293960960. The cubic root of 320325138 is about 684.2219578223.

The spelling of 320325138 in words is "three hundred twenty million, three hundred twenty-five thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 233 378 466 699 1398 1631 2097 3262 3637 4194 4893 6291 7274 9786 10911 12582 14679 21822 25459 29358 32733 44037 50918 65466 76377 88074 98199 152754 196398 229131 458262 687393 847421 1374786 1694842 2542263 5084526 5931947 7626789 11863894 15253578 17795841 22880367 35591682 45760734 53387523 106775046 160162569 320325138