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320395872 = 253171371433
BaseRepresentation
bin10011000110001…
…101101001100000
3211022212210111210
4103012031221200
51124010131442
651443110120
710640214516
oct2306155140
9738783453
10320395872
11154945185
128b372340
13514bc474
14307a24b6
151d1dc19c
hex1318da60

320395872 has 96 divisors (see below), whose sum is σ = 897638112. Its totient is φ = 99713024.

The previous prime is 320395849. The next prime is 320395891. The reversal of 320395872 is 278593023.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 320395872.

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, 222868 + ... + 224300.

It is an arithmetic number, because the mean of its divisors is an integer number (9350397).

Almost surely, 2320395872 is an apocalyptic number.

320395872 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 320395872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448819056).

320395872 is an abundant number, since it is smaller than the sum of its proper divisors (577242240).

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

320395872 is a wasteful number, since it uses less digits than its factorization.

320395872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 320395872 is about 17899.6053587782. The cubic root of 320395872 is about 684.2723172730.

The spelling of 320395872 in words is "three hundred twenty million, three hundred ninety-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 137 204 272 274 408 411 544 548 816 822 1096 1433 1632 1644 2192 2329 2866 3288 4299 4384 4658 5732 6576 6987 8598 9316 11464 13152 13974 17196 18632 22928 24361 27948 34392 37264 45856 48722 55896 68784 73083 74528 97444 111792 137568 146166 194888 196321 223584 292332 389776 392642 584664 588963 779552 785284 1169328 1177926 1570568 2338656 2355852 3141136 3337457 4711704 6282272 6674914 9423408 10012371 13349828 18846816 20024742 26699656 40049484 53399312 80098968 106798624 160197936 320395872