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3131688 = 233722663
BaseRepresentation
bin1011111100100100101000
312220002212110
423330210220
51300203223
6151042320
735422200
oct13744450
95802773
103131688
11184997a
1210703a0
13858591
145b7400
1541cd93
hex2fc928

3131688 has 48 divisors (see below), whose sum is σ = 9110880. Its totient is φ = 894432.

The previous prime is 3131671. The next prime is 3131699. The reversal of 3131688 is 8861313.

3131688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156 + ... + 2507.

It is an arithmetic number, because the mean of its divisors is an integer number (189810).

Almost surely, 23131688 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 3131688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4555440).

3131688 is an abundant number, since it is smaller than the sum of its proper divisors (5979192).

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

3131688 is a wasteful number, since it uses less digits than its factorization.

3131688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2675 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 3131688 is about 1769.6575939995. The cubic root of 3131688 is about 146.3051103577.

The spelling of 3131688 in words is "three million, one hundred thirty-one thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 2663 5326 7989 10652 15978 18641 21304 31956 37282 55923 63912 74564 111846 130487 149128 223692 260974 391461 447384 521948 782922 1043896 1565844 3131688