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31243904 = 271929443
BaseRepresentation
bin111011100101…
…1111010000000
32011210100120122
41313023322000
530444301104
63033355412
7526366046
oct167137200
964710518
1031243904
111670000a
12a568b68
13661c223
144214396
152b226be
hex1dcbe80

31243904 has 64 divisors (see below), whose sum is σ = 67932000. Its totient is φ = 14257152.

The previous prime is 31243903. The next prime is 31243907. The reversal of 31243904 is 40934213.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×312439042 = 1952363074322432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31243903) 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, 70307 + ... + 70749.

Almost surely, 231243904 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 31243904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33966000).

31243904 is an abundant number, since it is smaller than the sum of its proper divisors (36688096).

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

31243904 is a wasteful number, since it uses less digits than its factorization.

31243904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 31243904 is about 5589.6246743408. The cubic root of 31243904 is about 314.9597798652.

The spelling of 31243904 in words is "thirty-one million, two hundred forty-three thousand, nine hundred four".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 128 152 232 304 443 464 551 608 886 928 1102 1216 1772 1856 2204 2432 3544 3712 4408 7088 8417 8816 12847 14176 16834 17632 25694 28352 33668 35264 51388 56704 67336 70528 102776 134672 205552 244093 269344 411104 488186 538688 822208 976372 1077376 1644416 1952744 3905488 7810976 15621952 31243904