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31672296 = 2334371321
BaseRepresentation
bin111100011010…
…0011111101000
32012121010020000
41320310133220
531102003141
63050503000
7533132025
oct170643750
965533200
1031672296
1116972957
12a734a60
13673c206
1442c654c
152ba95b6
hex1e347e8

31672296 has 80 divisors (see below), whose sum is σ = 91178340. Its totient is φ = 10264320.

The previous prime is 31672273. The next prime is 31672331. The reversal of 31672296 is 69227613.

It can be written as a sum of positive squares in 2 ways, for example, as 24860196 + 6812100 = 4986^2 + 2610^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 31672296.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23316 + ... + 24636.

Almost surely, 231672296 is an apocalyptic number.

31672296 is a gapful number since it is divisible by the number (36) 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 31672296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45589170).

31672296 is an abundant number, since it is smaller than the sum of its proper divisors (59506044).

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

31672296 is a wasteful number, since it uses less digits than its factorization.

31672296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1363 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 31672296 is about 5627.8144958767. The cubic root of 31672296 is about 316.3927445923.

The spelling of 31672296 in words is "thirty-one million, six hundred seventy-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 296 324 333 444 648 666 888 999 1321 1332 1998 2642 2664 2997 3963 3996 5284 5994 7926 7992 10568 11889 11988 15852 23778 23976 31704 35667 47556 48877 71334 95112 97754 107001 142668 146631 195508 214002 285336 293262 391016 428004 439893 586524 856008 879786 1173048 1319679 1759572 2639358 3519144 3959037 5278716 7918074 10557432 15836148 31672296