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331392288 = 25317251809
BaseRepresentation
bin10011110000001…
…010010100100000
3212002120110202110
4103300022110200
51134314023123
652514515320
711132534163
oct2360122440
9762513673
10331392288
11160075a27
1292b95b40
135386c716
1432025ada
151e160493
hex13c0a520

331392288 has 96 divisors (see below), whose sum is σ = 925888320. Its totient is φ = 103424000.

The previous prime is 331392277. The next prime is 331392293. The reversal of 331392288 is 882293133.

331392288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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, 409228 + ... + 410036.

It is an arithmetic number, because the mean of its divisors is an integer number (9644670).

Almost surely, 2331392288 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 331392288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462944160).

331392288 is an abundant number, since it is smaller than the sum of its proper divisors (594496032).

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

331392288 is a wasteful number, since it uses less digits than its factorization.

331392288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1082 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 331392288 is about 18204.1832555048. The cubic root of 331392288 is about 692.0128078532.

The spelling of 331392288 in words is "three hundred thirty-one million, three hundred ninety-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 251 272 408 502 544 753 809 816 1004 1506 1618 1632 2008 2427 3012 3236 4016 4267 4854 6024 6472 8032 8534 9708 12048 12801 12944 13753 17068 19416 24096 25602 25888 27506 34136 38832 41259 51204 55012 68272 77664 82518 102408 110024 136544 165036 203059 204816 220048 330072 406118 409632 440096 609177 660144 812236 1218354 1320288 1624472 2436708 3248944 3452003 4873416 6497888 6904006 9746832 10356009 13808012 19493664 20712018 27616024 41424036 55232048 82848072 110464096 165696144 331392288