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331074920 = 235112632861
BaseRepresentation
bin10011101110111…
…100110101101000
3212001222100102002
4103232330311220
51134223344140
652504030132
711130043001
oct2356746550
9761870362
10331074920
1115a979540
1292a62348
135378b127
1431d821a8
151e0eb415
hex13bbcd68

331074920 has 64 divisors (see below), whose sum is σ = 816013440. Its totient is φ = 119891200.

The previous prime is 331074911. The next prime is 331074967. The reversal of 331074920 is 29470133.

It is a super-2 number, since 2×3310749202 = 219221205306012800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114290 + ... + 117150.

It is an arithmetic number, because the mean of its divisors is an integer number (12750210).

Almost surely, 2331074920 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 331074920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408006720).

331074920 is an abundant number, since it is smaller than the sum of its proper divisors (484938520).

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

331074920 is a wasteful number, since it uses less digits than its factorization.

331074920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 331074920 is about 18195.4642699767. The cubic root of 331074920 is about 691.7918281910.

The spelling of 331074920 in words is "three hundred thirty-one million, seventy-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 263 440 526 1052 1315 2104 2630 2861 2893 5260 5722 5786 10520 11444 11572 14305 14465 22888 23144 28610 28930 31471 57220 57860 62942 114440 115720 125884 157355 251768 314710 629420 752443 1258840 1504886 3009772 3762215 6019544 7524430 8276873 15048860 16553746 30097720 33107492 41384365 66214984 82768730 165537460 331074920