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331360092 = 223371632689
BaseRepresentation
bin10011110000000…
…010011101011100
3212002111211121000
4103300002131130
51134312010332
652514110300
711132341260
oct2360023534
9762454530
10331360092
11160053818
1292b7b390
135385ab7b
14320180a0
151e155b7c
hex13c0275c

331360092 has 96 divisors (see below), whose sum is σ = 988198400. Its totient is φ = 94058496.

The previous prime is 331360087. The next prime is 331360111. The reversal of 331360092 is 290063133.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121884 + ... + 124572.

Almost surely, 2331360092 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 331360092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494099200).

331360092 is an abundant number, since it is smaller than the sum of its proper divisors (656838308).

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

331360092 is a wasteful number, since it uses less digits than its factorization.

331360092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 331360092 is about 18203.2989317871. The cubic root of 331360092 is about 691.9903965834.

The spelling of 331360092 in words is "three hundred thirty-one million, three hundred sixty thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 163 189 252 326 378 489 652 756 978 1141 1467 1956 2282 2689 2934 3423 4401 4564 5378 5868 6846 8067 8802 10269 10756 13692 16134 17604 18823 20538 24201 30807 32268 37646 41076 48402 56469 61614 72603 75292 96804 112938 123228 145206 169407 225876 290412 338814 438307 508221 677628 876614 1016442 1314921 1753228 2032884 2629842 3068149 3944763 5259684 6136298 7889526 9204447 11834289 12272596 15779052 18408894 23668578 27613341 36817788 47337156 55226682 82840023 110453364 165680046 331360092