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313389216 = 2533751817
BaseRepresentation
bin10010101011011…
…111000010100000
3210211200211012000
4102223133002200
51120211423331
651033004000
710523523120
oct2253370240
9724624160
10313389216
11150999a58
1288b53600
134cc0820a
142d89ac80
151c7a60e6
hex12adf0a0

313389216 has 96 divisors (see below), whose sum is σ = 1044650880. Its totient is φ = 89538048.

The previous prime is 313389187. The next prime is 313389229. The reversal of 313389216 is 612983313.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 19861 + ... + 31956.

It is an arithmetic number, because the mean of its divisors is an integer number (10881780).

Almost surely, 2313389216 is an apocalyptic number.

313389216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

313389216 is an abundant number, since it is smaller than the sum of its proper divisors (731261664).

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

313389216 is a wasteful number, since it uses less digits than its factorization.

313389216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51843 (or 51829 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 313389216 is about 17702.8024900014. The cubic root of 313389216 is about 679.2474488946.

The spelling of 313389216 in words is "three hundred thirteen million, three hundred eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 51817 103634 155451 207268 310902 362719 414536 466353 621804 725438 829072 932706 1088157 1243608 1399059 1450876 1658144 1865412 2176314 2487216 2798118 2901752 3264471 3730824 4352628 4974432 5596236 5803504 6528942 7461648 8705256 9793413 11192472 11607008 13057884 14923296 17410512 19586826 22384944 26115768 34821024 39173652 44769888 52231536 78347304 104463072 156694608 313389216