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331368544 = 25132359587
BaseRepresentation
bin10011110000000…
…100100001100000
3212002112021012001
4103300010201200
51134312243134
652514213344
711132405023
oct2360044140
9762467161
10331368544
1116005a101
1292b84254
1353861980
143201b1ba
151e158414
hex13c04860

331368544 has 96 divisors (see below), whose sum is σ = 746807040. Its totient is φ = 143565312.

The previous prime is 331368511. The next prime is 331368551. The reversal of 331368544 is 445863133.

331368544 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 2×3313685442 = 219610223905359872, which contains 22 as substring.

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, 564219 + ... + 564805.

It is an arithmetic number, because the mean of its divisors is an integer number (7779240).

Almost surely, 2331368544 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 331368544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373403520).

331368544 is an abundant number, since it is smaller than the sum of its proper divisors (415438496).

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

331368544 is a wasteful number, since it uses less digits than its factorization.

331368544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 684 counting only the distinct ones).

The product of its digits is 103680, while the sum is 37.

The square root of 331368544 is about 18203.5310860283. The cubic root of 331368544 is about 691.9962800651.

The spelling of 331368544 in words is "three hundred thirty-one million, three hundred sixty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 59 92 104 118 184 208 236 299 368 416 472 587 598 736 767 944 1174 1196 1357 1534 1888 2348 2392 2714 3068 4696 4784 5428 6136 7631 9392 9568 10856 12272 13501 15262 17641 18784 21712 24544 27002 30524 34633 35282 43424 54004 61048 69266 70564 108008 122096 138532 141128 175513 216016 244192 277064 282256 351026 432032 450229 554128 564512 702052 796559 900458 1108256 1404104 1593118 1800916 2808208 3186236 3601832 5616416 6372472 7203664 10355267 12744944 14407328 20710534 25489888 41421068 82842136 165684272 331368544