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31311400 = 2352473331
BaseRepresentation
bin111011101110…
…0011000101000
32011220210011111
41313130120220
531003431100
63035040104
7530066611
oct167343050
964823144
1031311400
111674679a
12a5a0034
136643b73
144230c08
152b376ba
hex1ddc628

31311400 has 48 divisors (see below), whose sum is σ = 74370240. Its totient is φ = 12254400.

The previous prime is 31311391. The next prime is 31311407. The reversal of 31311400 is 411313.

It is not an unprimeable number, because it can be changed into a prime (31311407) 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 11 ways as a sum of consecutive naturals, for example, 7735 + ... + 11065.

It is an arithmetic number, because the mean of its divisors is an integer number (1549380).

Almost surely, 231311400 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 31311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37185120).

31311400 is an abundant number, since it is smaller than the sum of its proper divisors (43058840).

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

31311400 is a wasteful number, since it uses less digits than its factorization.

31311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 31311400 is about 5595.6590317853. The cubic root of 31311400 is about 315.1864185873.

Adding to 31311400 its reverse (411313), we get a palindrome (31722713).

The spelling of 31311400 in words is "thirty-one million, three hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 940 1175 1880 2350 3331 4700 6662 9400 13324 16655 26648 33310 66620 83275 133240 156557 166550 313114 333100 626228 666200 782785 1252456 1565570 3131140 3913925 6262280 7827850 15655700 31311400