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31268712 = 23317173443
BaseRepresentation
bin111011101000…
…1111101101000
32011211121121110
41313101331220
531001044322
63034110320
7526531266
oct167217550
964747543
1031268712
1116717712
12a57b3a0
13662a5c7
14421d436
152b29c0c
hex1dd1f68

31268712 has 64 divisors (see below), whose sum is σ = 83436480. Its totient is φ = 9731072.

The previous prime is 31268711. The next prime is 31268719. The reversal of 31268712 is 21786213.

It is a super-3 number, since 3×312687123 (a number of 23 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31268712.

It is not an unprimeable number, because it can be changed into a prime (31268711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70363 + ... + 70805.

It is an arithmetic number, because the mean of its divisors is an integer number (1303695).

Almost surely, 231268712 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 31268712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41718240).

31268712 is an abundant number, since it is smaller than the sum of its proper divisors (52167768).

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

31268712 is a wasteful number, since it uses less digits than its factorization.

31268712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 638 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 31268712 is about 5591.8433454452. The cubic root of 31268712 is about 315.0431183102.

The spelling of 31268712 in words is "thirty-one million, two hundred sixty-eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 173 204 346 408 443 519 692 886 1038 1329 1384 1772 2076 2658 2941 3544 4152 5316 5882 7531 8823 10632 11764 15062 17646 22593 23528 30124 35292 45186 60248 70584 76639 90372 153278 180744 229917 306556 459834 613112 919668 1302863 1839336 2605726 3908589 5211452 7817178 10422904 15634356 31268712