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31378896 = 2432217909
BaseRepresentation
bin111011110110…
…0110111010000
32012001012202100
41313230313100
531013111041
63040320400
7530500443
oct167546720
965035670
1031378896
111679247a
12a613100
1366687c3
14424b65a
152b4c6b6
hex1decdd0

31378896 has 30 divisors (see below), whose sum is σ = 87817730. Its totient is φ = 10459584.

The previous prime is 31378883. The next prime is 31378901. The reversal of 31378896 is 69887313.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 20250000 + 11128896 = 4500^2 + 3336^2 .

It is a super-2 number, since 2×313788962 = 1969270228357632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 108811 + ... + 109098.

Almost surely, 231378896 is an apocalyptic number.

31378896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31378896 is an abundant number, since it is smaller than the sum of its proper divisors (56438834).

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

31378896 is a wasteful number, since it uses less digits than its factorization.

31378896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217923 (or 217914 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 31378896 is about 5601.6868887863. The cubic root of 31378896 is about 315.4127318426.

The spelling of 31378896 in words is "thirty-one million, three hundred seventy-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 217909 435818 653727 871636 1307454 1743272 1961181 2614908 3486544 3922362 5229816 7844724 10459632 15689448 31378896