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31374112 = 25721117107
BaseRepresentation
bin111011110101…
…1101100100000
32012000222012011
41313223230200
531012432422
63040242304
7530450500
oct167535440
965028164
1031374112
1116789920
12a610394
136666583
144249a00
152b4b077
hex1debb20

31374112 has 144 divisors (see below), whose sum is σ = 83770848. Its totient is φ = 11397120.

The previous prime is 31374089. The next prime is 31374121. The reversal of 31374112 is 21147313.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 293163 + ... + 293269.

It is an arithmetic number, because the mean of its divisors is an integer number (581742).

Almost surely, 231374112 is an apocalyptic number.

31374112 is a gapful number since it is divisible by the number (32) 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 31374112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41885424).

31374112 is an abundant number, since it is smaller than the sum of its proper divisors (52396736).

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

31374112 is a wasteful number, since it uses less digits than its factorization.

31374112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 144 counting only the distinct ones).

The product of its digits is 504, while the sum is 22.

The square root of 31374112 is about 5601.2598582819. The cubic root of 31374112 is about 315.3967018416.

The spelling of 31374112 in words is "thirty-one million, three hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 49 56 68 77 88 98 107 112 119 136 154 176 187 196 214 224 238 272 308 352 374 392 428 476 539 544 616 748 749 784 833 856 952 1078 1177 1232 1309 1496 1498 1568 1666 1712 1819 1904 2156 2354 2464 2618 2992 2996 3332 3424 3638 3808 4312 4708 5236 5243 5984 5992 6664 7276 8239 8624 9163 9416 10472 10486 11984 12733 13328 14552 16478 17248 18326 18832 20009 20944 20972 23968 25466 26656 29104 32956 36652 37664 40018 41888 41944 50932 57673 58208 65912 73304 80036 83888 89131 101864 115346 131824 140063 146608 160072 167776 178262 203728 230692 263648 280126 293216 320144 356524 407456 461384 560252 640288 713048 922768 980441 1120504 1426096 1845536 1960882 2241008 2852192 3921764 4482016 7843528 15687056 31374112