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31679712 = 2532317347
BaseRepresentation
bin111100011011…
…0010011100000
32012121111101200
41320312103200
531102222322
63051001200
7533162451
oct170662340
965544350
1031679712
1116978489
12a739200
1367426bc
1442c9128
152bab8ac
hex1e364e0

31679712 has 72 divisors (see below), whose sum is σ = 90633816. Its totient is φ = 10496256.

The previous prime is 31679699. The next prime is 31679723. The reversal of 31679712 is 21797613.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91123 + ... + 91469.

It is an arithmetic number, because the mean of its divisors is an integer number (1258803).

Almost surely, 231679712 is an apocalyptic number.

31679712 is a gapful number since it is divisible by the number (32) 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 31679712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45316908).

31679712 is an abundant number, since it is smaller than the sum of its proper divisors (58954104).

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

31679712 is a wasteful number, since it uses less digits than its factorization.

31679712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 669 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 31679712 is about 5628.4733276440. The cubic root of 31679712 is about 316.4174368921.

The spelling of 31679712 in words is "thirty-one million, six hundred seventy-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 317 347 634 694 951 1041 1268 1388 1902 2082 2536 2776 2853 3123 3804 4164 5072 5552 5706 6246 7608 8328 10144 11104 11412 12492 15216 16656 22824 24984 30432 33312 45648 49968 91296 99936 109999 219998 329997 439996 659994 879992 989991 1319988 1759984 1979982 2639976 3519968 3959964 5279952 7919928 10559904 15839856 31679712