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320393112 = 233132414261
BaseRepresentation
bin10011000110001…
…100111110011000
3211022212122201120
4103012030332120
51124010034422
651443045240
710640203464
oct2306147630
9738778646
10320393112
111549430a6
128b370820
13514bb130
14307a14a4
151d1db45c
hex1318cf98

320393112 has 64 divisors (see below), whose sum is σ = 866379360. Its totient is φ = 98150400.

The previous prime is 320393107. The next prime is 320393137. The reversal of 320393112 is 211393023.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73062 + ... + 77322.

Almost surely, 2320393112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320393112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433189680).

320393112 is an abundant number, since it is smaller than the sum of its proper divisors (545986248).

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

320393112 is a wasteful number, since it uses less digits than its factorization.

320393112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4524 (or 4520 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 320393112 is about 17899.5282619403. The cubic root of 320393112 is about 684.2703524152.

The spelling of 320393112 in words is "three hundred twenty million, three hundred ninety-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 241 312 482 723 964 1446 1928 2892 3133 4261 5784 6266 8522 9399 12532 12783 17044 18798 25064 25566 34088 37596 51132 55393 75192 102264 110786 166179 221572 332358 443144 664716 1026901 1329432 2053802 3080703 4107604 6161406 8215208 12322812 13349713 24645624 26699426 40049139 53398852 80098278 106797704 160196556 320393112