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31318016 = 2133823
BaseRepresentation
bin111011101111…
…0000000000000
32011221010020112
41313132000000
531004134031
63035130452
7530125112
oct167360000
964833215
1031318016
1116750764
12a5a3a28
136646b92
1442333b2
152b3962b
hex1dde000

31318016 has 28 divisors (see below), whose sum is σ = 62648592. Its totient is φ = 15654912.

The previous prime is 31318013. The next prime is 31318031. The reversal of 31318016 is 61081313.

It is a super-3 number, since 3×313180163 (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31317982 and 31318000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31318013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6281 + ... + 10103.

Almost surely, 231318016 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 31318016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31324296).

31318016 is an abundant number, since it is smaller than the sum of its proper divisors (31330576).

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

31318016 is an frugal number, since it uses more digits than its factorization.

31318016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3849 (or 3825 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 31318016 is about 5596.2501731070. The cubic root of 31318016 is about 315.2086163225.

Adding to 31318016 its reverse (61081313), we get a palindrome (92399329).

The spelling of 31318016 in words is "thirty-one million, three hundred eighteen thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 3823 4096 7646 8192 15292 30584 61168 122336 244672 489344 978688 1957376 3914752 7829504 15659008 31318016