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31383264 = 25311113263
BaseRepresentation
bin111011110110…
…1111011100000
32012001102202010
41313231323200
531013231024
63040352520
7530516253
oct167557340
965042663
1031383264
1116795790
12a615740
13666a7a3
14424d09a
152b4db29
hex1dedee0

31383264 has 96 divisors (see below), whose sum is σ = 91010304. Its totient is φ = 9390080.

The previous prime is 31383259. The next prime is 31383301. The reversal of 31383264 is 46238313.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119197 + ... + 119459.

It is an arithmetic number, because the mean of its divisors is an integer number (948024).

Almost surely, 231383264 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 31383264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45505152).

31383264 is an abundant number, since it is smaller than the sum of its proper divisors (59627040).

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

31383264 is a wasteful number, since it uses less digits than its factorization.

31383264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 392 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 31383264 is about 5602.0767577747. The cubic root of 31383264 is about 315.4273665075.

The spelling of 31383264 in words is "thirty-one million, three hundred eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 113 132 176 226 263 264 339 352 452 526 528 678 789 904 1052 1056 1243 1356 1578 1808 2104 2486 2712 2893 3156 3616 3729 4208 4972 5424 5786 6312 7458 8416 8679 9944 10848 11572 12624 14916 17358 19888 23144 25248 29719 29832 34716 39776 46288 59438 59664 69432 89157 92576 118876 119328 138864 178314 237752 277728 326909 356628 475504 653818 713256 951008 980727 1307636 1426512 1961454 2615272 2853024 3922908 5230544 7845816 10461088 15691632 31383264