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320082112 = 26742083
BaseRepresentation
bin10011000101000…
…001000011000000
3211022021212010001
4103011001003000
51123420111422
651432245344
710634440000
oct2305010300
9738255101
10320082112
11154750479
128b240854
135140c6cc
1430720000
151d179227
hex131410c0

320082112 has 70 divisors (see below), whose sum is σ = 741335068. Its totient is φ = 137112192.

The previous prime is 320082101. The next prime is 320082149. The reversal of 320082112 is 211280023.

320082112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 320082112.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 152623 + ... + 154705.

Almost surely, 2320082112 is an apocalyptic number.

320082112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320082112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370667534).

320082112 is an abundant number, since it is smaller than the sum of its proper divisors (421252956).

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

320082112 is an frugal number, since it uses more digits than its factorization.

320082112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 320082112 is about 17890.8387729586. The cubic root of 320082112 is about 684.0488776444.

The spelling of 320082112 in words is "three hundred twenty million, eighty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 1372 1568 2083 2401 2744 3136 4166 4802 5488 8332 9604 10976 14581 16664 19208 21952 29162 33328 38416 58324 66656 76832 102067 116648 133312 153664 204134 233296 408268 466592 714469 816536 933184 1428938 1633072 2857876 3266144 5001283 5715752 6532288 10002566 11431504 20005132 22863008 40010264 45726016 80020528 160041056 320082112