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31314500 = 2253723389
BaseRepresentation
bin111011101110…
…1001001000100
32011220221102022
41313131021010
531004031000
63035102312
7530111630
oct167351104
964827368
1031314500
1116749058
12a5a1998
1366453b9
144231dc0
152b38585
hex1ddd244

31314500 has 96 divisors (see below), whose sum is σ = 81768960. Its totient is φ = 10243200.

The previous prime is 31314473. The next prime is 31314539. The reversal of 31314500 is 541313.

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 31 ways as a sum of consecutive naturals, for example, 80306 + ... + 80694.

It is an arithmetic number, because the mean of its divisors is an integer number (851760).

Almost surely, 231314500 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 31314500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40884480).

31314500 is an abundant number, since it is smaller than the sum of its proper divisors (50454460).

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

31314500 is a wasteful number, since it uses less digits than its factorization.

31314500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 31314500 is about 5595.9360253670. The cubic root of 31314500 is about 315.1968199710.

Adding to 31314500 its reverse (541313), we get a palindrome (31855813).

The spelling of 31314500 in words is "thirty-one million, three hundred fourteen thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 125 140 161 175 230 250 322 350 389 460 500 575 644 700 778 805 875 1150 1556 1610 1750 1945 2300 2723 2875 3220 3500 3890 4025 5446 5750 7780 8050 8947 9725 10892 11500 13615 16100 17894 19450 20125 27230 35788 38900 40250 44735 48625 54460 62629 68075 80500 89470 97250 125258 136150 178940 194500 223675 250516 272300 313145 340375 447350 626290 680750 894700 1118375 1252580 1361500 1565725 2236750 3131450 4473500 6262900 7828625 15657250 31314500