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31683312 = 243529281
BaseRepresentation
bin111100011011…
…1001011110000
32012121200100000
41320313023300
531102331222
63051030000
7533206113
oct170671360
965550300
1031683312
1116980161
12a73b300
13674422b
1442ca57a
152bac9ac
hex1e372f0

31683312 has 120 divisors (see below), whose sum is σ = 95462640. Its totient is φ = 10160640.

The previous prime is 31683299. The next prime is 31683329. The reversal of 31683312 is 21338613.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112612 + ... + 112892.

It is an arithmetic number, because the mean of its divisors is an integer number (795522).

Almost surely, 231683312 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 31683312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47731320).

31683312 is an abundant number, since it is smaller than the sum of its proper divisors (63779328).

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

31683312 is a wasteful number, since it uses less digits than its factorization.

31683312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 315 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 31683312 is about 5628.7931210873. The cubic root of 31683312 is about 316.4294220560.

The spelling of 31683312 in words is "thirty-one million, six hundred eighty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 243 261 281 324 348 432 464 486 522 562 648 696 783 843 972 1044 1124 1296 1392 1566 1686 1944 2088 2248 2349 2529 3132 3372 3888 4176 4496 4698 5058 6264 6744 7047 7587 8149 9396 10116 12528 13488 14094 15174 16298 18792 20232 22761 24447 28188 30348 32596 37584 40464 45522 48894 56376 60696 65192 68283 73341 91044 97788 112752 121392 130384 136566 146682 182088 195576 220023 273132 293364 364176 391152 440046 546264 586728 660069 880092 1092528 1173456 1320138 1760184 1980207 2640276 3520368 3960414 5280552 7920828 10561104 15841656 31683312