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331285944 = 233115921269
BaseRepresentation
bin10011101111110…
…000010110111000
3212002101001212210
4103233300112320
51134302122234
652512335120
711131612143
oct2357602670
9762331783
10331285944
11160003040
1292b444a0
13538331b2
1431dd905a
151e13dbe9
hex13bf05b8

331285944 has 64 divisors (see below), whose sum is σ = 918864000. Its totient is φ = 98683520.

The previous prime is 331285931. The next prime is 331285949. The reversal of 331285944 is 449582133.

331285944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3312859442 = 219500753383942272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331285949) 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, 4942 + ... + 26210.

It is an arithmetic number, because the mean of its divisors is an integer number (14357250).

Almost surely, 2331285944 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 331285944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459432000).

331285944 is an abundant number, since it is smaller than the sum of its proper divisors (587578056).

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

331285944 is a wasteful number, since it uses less digits than its factorization.

331285944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21348 (or 21344 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 331285944 is about 18201.2621540376. The cubic root of 331285944 is about 691.9387774810.

The spelling of 331285944 in words is "three hundred thirty-one million, two hundred eighty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 66 88 118 132 177 236 264 354 472 649 708 1298 1416 1947 2596 3894 5192 7788 15576 21269 42538 63807 85076 127614 170152 233959 255228 467918 510456 701877 935836 1254871 1403754 1871672 2509742 2807508 3764613 5019484 5615016 7529226 10038968 13803581 15058452 27607162 30116904 41410743 55214324 82821486 110428648 165642972 331285944