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331230944 = 25118997109
BaseRepresentation
bin10011101111100…
…010111011100000
3212002021021102202
4103233202323200
51134243342234
652511232332
711131262612
oct2357427340
9762237382
10331230944
1115aa75790
1292b186a8
1353814155
1431dc2db2
151e12c77e
hex13be2ee0

331230944 has 96 divisors (see below), whose sum is σ = 733471200. Its totient is φ = 145981440.

The previous prime is 331230937. The next prime is 331230947. The reversal of 331230944 is 449032133.

It is a super-2 number, since 2×3312309442 = 219427876526262272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331230947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3038762 + ... + 3038870.

It is an arithmetic number, because the mean of its divisors is an integer number (7640325).

Almost surely, 2331230944 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 331230944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366735600).

331230944 is an abundant number, since it is smaller than the sum of its proper divisors (402240256).

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

331230944 is a wasteful number, since it uses less digits than its factorization.

331230944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 331230944 is about 18199.7512070907. The cubic root of 331230944 is about 691.9004835341.

The spelling of 331230944 in words is "three hundred thirty-one million, two hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 89 97 109 176 178 194 218 352 356 388 436 712 776 872 979 1067 1199 1424 1552 1744 1958 2134 2398 2848 3104 3488 3916 4268 4796 7832 8536 8633 9592 9701 10573 15664 17072 17266 19184 19402 21146 31328 34144 34532 38368 38804 42292 69064 77608 84584 94963 106711 116303 138128 155216 169168 189926 213422 232606 276256 310432 338336 379852 426844 465212 759704 853688 930424 940997 1519408 1707376 1860848 1881994 3038816 3414752 3721696 3763988 7527976 10350967 15055952 20701934 30111904 41403868 82807736 165615472 331230944