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31674072 = 2333753673
BaseRepresentation
bin111100011010…
…0111011011000
32012121012122210
41320310323120
531102032242
63050515120
7533140143
oct170647330
965535583
1031674072
1116974221
12a735aa0
13673cc71
1442c705a
152ba9d9c
hex1e34ed8

31674072 has 64 divisors (see below), whose sum is σ = 82982880. Its totient is φ = 10063872.

The previous prime is 31674053. The next prime is 31674073. The reversal of 31674072 is 27047613.

It is a super-2 number, since 2×316740722 = 2006493674122368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31674073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46728 + ... + 47400.

Almost surely, 231674072 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 31674072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41491440).

31674072 is an abundant number, since it is smaller than the sum of its proper divisors (51308808).

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

31674072 is a wasteful number, since it uses less digits than its factorization.

31674072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 31674072 is about 5627.9722813816. The cubic root of 31674072 is about 316.3986583095.

The spelling of 31674072 in words is "thirty-one million, six hundred seventy-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 37 53 74 106 111 148 159 212 222 296 318 424 444 636 673 888 1272 1346 1961 2019 2692 3922 4038 5384 5883 7844 8076 11766 15688 16152 23532 24901 35669 47064 49802 71338 74703 99604 107007 142676 149406 199208 214014 285352 298812 428028 597624 856056 1319753 2639506 3959259 5279012 7918518 10558024 15837036 31674072