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331163312 = 24196771229
BaseRepresentation
bin10011101111010…
…010011010110000
3212002010211122212
4103233102122300
51134234211222
652505551252
711130561464
oct2357223260
9762124585
10331163312
1115aa29997
1292aa5528
13537bc42c
1431da64a4
151e1176e2
hex13bd26b0

331163312 has 80 divisors (see below), whose sum is σ = 698169600. Its totient is φ = 151683840.

The previous prime is 331163311. The next prime is 331163323. The reversal of 331163312 is 213361133.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (331163311) 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, 1446014 + ... + 1446242.

It is an arithmetic number, because the mean of its divisors is an integer number (8727120).

Almost surely, 2331163312 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 331163312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349084800).

331163312 is an abundant number, since it is smaller than the sum of its proper divisors (367006288).

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

331163312 is a wasteful number, since it uses less digits than its factorization.

331163312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 388 counting only the distinct ones).

The product of its digits is 972, while the sum is 23.

The square root of 331163312 is about 18197.8930648578. The cubic root of 331163312 is about 691.8533887003.

The spelling of 331163312 in words is "three hundred thirty-one million, one hundred sixty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 38 67 71 76 134 142 152 229 268 284 304 458 536 568 916 1072 1136 1273 1349 1832 2546 2698 3664 4351 4757 5092 5396 8702 9514 10184 10792 15343 16259 17404 19028 20368 21584 30686 32518 34808 38056 61372 65036 69616 76112 90383 122744 130072 180766 245488 260144 291517 308921 361532 583034 617842 723064 1089353 1166068 1235684 1446128 2178706 2332136 2471368 4357412 4664272 4942736 8714824 17429648 20697707 41395414 82790828 165581656 331163312