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31045312 = 262943389
BaseRepresentation
bin111011001101…
…1011011000000
32011102021011101
41312123123000
530421422222
63025224144
7524611054
oct166333300
964367141
1031045312
1116584891
12a492054
13657ca0c
1441a1c64
152ad3927
hex1d9b6c0

31045312 has 56 divisors (see below), whose sum is σ = 65379600. Its totient is φ = 14601216.

The previous prime is 31045307. The next prime is 31045319. The reversal of 31045312 is 21354013.

It is a super-2 number, since 2×310453122 = 1927622794354688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31045312.

It is not an unprimeable number, because it can be changed into a prime (31045319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79614 + ... + 80002.

Almost surely, 231045312 is an apocalyptic number.

31045312 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 31045312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32689800).

31045312 is an abundant number, since it is smaller than the sum of its proper divisors (34334288).

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

31045312 is a wasteful number, since it uses less digits than its factorization.

31045312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 31045312 is about 5571.8320146968. The cubic root of 31045312 is about 314.2910468989.

Adding to 31045312 its reverse (21354013), we get a palindrome (52399325).

The spelling of 31045312 in words is "thirty-one million, forty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 43 58 64 86 116 172 232 344 389 464 688 778 928 1247 1376 1556 1856 2494 2752 3112 4988 6224 9976 11281 12448 16727 19952 22562 24896 33454 39904 45124 66908 79808 90248 133816 180496 267632 360992 485083 535264 721984 970166 1070528 1940332 3880664 7761328 15522656 31045312