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331636016 = 24316197113
BaseRepresentation
bin10011110001000…
…101110100110000
3212010000212002102
4103301011310300
51134344323031
652524035532
711134600565
oct2361056460
9763025072
10331636016
11160222058
1293092ba8
135392663a
143208a86c
151e1ac7cb
hex13c45d30

331636016 has 80 divisors (see below), whose sum is σ = 687122688. Its totient is φ = 154828800.

The previous prime is 331635977. The next prime is 331636027. The reversal of 331636016 is 610636133.

It is a self number, because there is not a number n which added to its sum of digits gives 331636016.

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 15 ways as a sum of consecutive naturals, for example, 2934776 + ... + 2934888.

Almost surely, 2331636016 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 331636016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343561344).

331636016 is an abundant number, since it is smaller than the sum of its proper divisors (355486672).

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

331636016 is a wasteful number, since it uses less digits than its factorization.

331636016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 29.

The square root of 331636016 is about 18210.8763106008. The cubic root of 331636016 is about 692.1824170766.

The spelling of 331636016 in words is "three hundred thirty-one million, six hundred thirty-six thousand, sixteen".

Divisors: 1 2 4 8 16 31 61 62 97 113 122 124 194 226 244 248 388 452 488 496 776 904 976 1552 1808 1891 3007 3503 3782 5917 6014 6893 7006 7564 10961 11834 12028 13786 14012 15128 21922 23668 24056 27572 28024 30256 43844 47336 48112 55144 56048 87688 94672 110288 175376 183427 213683 339791 366854 427366 668621 679582 733708 854732 1337242 1359164 1467416 1709464 2674484 2718328 2934832 3418928 5348968 5436656 10697936 20727251 41454502 82909004 165818008 331636016