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31374080 = 285127193
BaseRepresentation
bin111011110101…
…1101100000000
32012000222010222
41313223230000
531012432310
63040242212
7530450423
oct167535400
965028128
1031374080
11167898a1
12a610368
13666655a
1442499ba
152b4b055
hex1debb00

31374080 has 72 divisors (see below), whose sum is σ = 76134912. Its totient is φ = 12386304.

The previous prime is 31374071. The next prime is 31374089. The reversal of 31374080 is 8047313.

It is an interprime number because it is at equal distance from previous prime (31374071) and next prime (31374089).

It is not an unprimeable number, because it can be changed into a prime (31374089) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 162464 + ... + 162656.

Almost surely, 231374080 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 31374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38067456).

31374080 is an abundant number, since it is smaller than the sum of its proper divisors (44760832).

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

31374080 is a wasteful number, since it uses less digits than its factorization.

31374080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 31374080 is about 5601.2570017809. The cubic root of 31374080 is about 315.3965946120.

The spelling of 31374080 in words is "thirty-one million, three hundred seventy-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 193 254 256 320 386 508 635 640 772 965 1016 1270 1280 1544 1930 2032 2540 3088 3860 4064 5080 6176 7720 8128 10160 12352 15440 16256 20320 24511 24704 30880 32512 40640 49022 49408 61760 81280 98044 122555 123520 162560 196088 245110 247040 392176 490220 784352 980440 1568704 1960880 3137408 3921760 6274816 7843520 15687040 31374080