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31814016 = 273136373
BaseRepresentation
bin111100101011…
…1000110000000
32012212022121220
41321113012000
531121022031
63053515040
7534262143
oct171270600
965768556
1031814016
1116a5a383
12a7a2a80
13678b880
14432205a
152bd6596
hex1e57180

31814016 has 64 divisors (see below), whose sum is σ = 91020720. Its totient is φ = 9787392.

The previous prime is 31813997. The next prime is 31814017. The reversal of 31814016 is 61041813.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×318140162 = 2024263228096512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31814017) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1806 + ... + 8178.

Almost surely, 231814016 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 31814016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45510360).

31814016 is an abundant number, since it is smaller than the sum of its proper divisors (59206704).

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

31814016 is a wasteful number, since it uses less digits than its factorization.

31814016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6403 (or 6391 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 31814016 is about 5640.3914757754. The cubic root of 31814016 is about 316.8639499510.

Adding to 31814016 its reverse (61041813), we get a palindrome (92855829).

The spelling of 31814016 in words is "thirty-one million, eight hundred fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 6373 12746 19119 25492 38238 50984 76476 82849 101968 152952 165698 203936 248547 305904 331396 407872 497094 611808 662792 815744 994188 1223616 1325584 1988376 2447232 2651168 3976752 5302336 7953504 10604672 15907008 31814016