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31314816 = 2733131741
BaseRepresentation
bin111011101110…
…1001110000000
32011220221212000
41313131032000
531004033231
63035104000
7530112561
oct167351600
964827760
1031314816
1116749315
12a5a2000
1366455a0
144232168
152b386e6
hex1ddd380

31314816 has 256 divisors, whose sum is σ = 107956800. Its totient is φ = 8847360.

The previous prime is 31314791. The next prime is 31314823. The reversal of 31314816 is 61841313.

It is a super-2 number, since 2×313148162 = 1961235402227712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 31314816.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 763756 + ... + 763796.

Almost surely, 231314816 is an apocalyptic number.

31314816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31314816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53978400).

31314816 is an abundant number, since it is smaller than the sum of its proper divisors (76641984).

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

31314816 is a wasteful number, since it uses less digits than its factorization.

31314816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 76 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 31314816 is about 5595.9642600717. The cubic root of 31314816 is about 315.1978802025.

It can be divided in two parts, 313 and 14816, that added together give a square (15129 = 1232).

The spelling of 31314816 in words is "thirty-one million, three hundred fourteen thousand, eight hundred sixteen".