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3131693844 = 223713675697
BaseRepresentation
bin1011101010101001…
…1101101100010100
322002020211112022220
42322222131230110
522403203200334
61234431022340
7140414646516
oct27252355424
98066745286
103131693844
111367839a34
1273496a9b0
133aba73ca6
14219cc7bb6
15134e09449
hexbaa9db14

3131693844 has 24 divisors (see below), whose sum is σ = 7410207168. Its totient is φ = 1029194880.

The previous prime is 3131693843. The next prime is 3131693897. The reversal of 3131693844 is 4483961313.

It is a super-3 number, since 3×31316938443 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3131693796 and 3131693805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131693843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1836997 + ... + 1838700.

It is an arithmetic number, because the mean of its divisors is an integer number (308758632).

Almost surely, 23131693844 is an apocalyptic number.

It is an amenable number.

3131693844 is an abundant number, since it is smaller than the sum of its proper divisors (4278513324).

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

3131693844 is a wasteful number, since it uses less digits than its factorization.

3131693844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3675775 (or 3675773 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 3131693844 is about 55961.5389709754. The cubic root of 3131693844 is about 1463.0520136366.

The spelling of 3131693844 in words is "three billion, one hundred thirty-one million, six hundred ninety-three thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 12 71 142 213 284 426 852 3675697 7351394 11027091 14702788 22054182 44108364 260974487 521948974 782923461 1043897948 1565846922 3131693844