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31383904 = 2517311861
BaseRepresentation
bin111011110111…
…0000101100000
32012001110121211
41313232011200
531013241104
63040355504
7530521156
oct167560540
965043554
1031383904
1116796212
12a615b94
13666ab76
14424d3d6
152b4de04
hex1dee160

31383904 has 48 divisors (see below), whose sum is σ = 67568256. Its totient is φ = 14284800.

The previous prime is 31383899. The next prime is 31383907. The reversal of 31383904 is 40938313.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31383907) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15934 + ... + 17794.

It is an arithmetic number, because the mean of its divisors is an integer number (1407672).

Almost surely, 231383904 is an apocalyptic number.

31383904 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31383904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33784128).

31383904 is an abundant number, since it is smaller than the sum of its proper divisors (36184352).

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

31383904 is a wasteful number, since it uses less digits than its factorization.

31383904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 31383904 is about 5602.1338791571. The cubic root of 31383904 is about 315.4295106667.

The spelling of 31383904 in words is "thirty-one million, three hundred eighty-three thousand, nine hundred four".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 136 248 272 496 527 544 992 1054 1861 2108 3722 4216 7444 8432 14888 16864 29776 31637 57691 59552 63274 115382 126548 230764 253096 461528 506192 923056 980747 1012384 1846112 1961494 3922988 7845976 15691952 31383904