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31310032 = 24131091381
BaseRepresentation
bin111011101110…
…0000011010000
32011220201021211
41313130003100
531003410112
63035025504
7530062615
oct167340320
964821254
1031310032
1116745766
12a59b294
136643360
14423050c
152b370a7
hex1ddc0d0

31310032 has 40 divisors (see below), whose sum is σ = 65976680. Its totient is φ = 14307840.

The previous prime is 31310017. The next prime is 31310047. The reversal of 31310032 is 23001313.

It is an interprime number because it is at equal distance from previous prime (31310017) and next prime (31310047).

It can be written as a sum of positive squares in 4 ways, for example, as 2322576 + 28987456 = 1524^2 + 5384^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 31309994 and 31310021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21982 + ... + 23362.

It is an arithmetic number, because the mean of its divisors is an integer number (1649417).

Almost surely, 231310032 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 31310032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32988340).

31310032 is an abundant number, since it is smaller than the sum of its proper divisors (34666648).

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

31310032 is a wasteful number, since it uses less digits than its factorization.

31310032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 31310032 is about 5595.5367928377. The cubic root of 31310032 is about 315.1818283391.

Adding to 31310032 its reverse (23001313), we get a palindrome (54311345).

The spelling of 31310032 in words is "thirty-one million, three hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 109 208 218 436 872 1381 1417 1744 2762 2834 5524 5668 11048 11336 17953 22096 22672 35906 71812 143624 150529 287248 301058 602116 1204232 1956877 2408464 3913754 7827508 15655016 31310032