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31044312 = 233213171951
BaseRepresentation
bin111011001101…
…1001011011000
32011102012210100
41312123023120
530421404222
63025215400
7524605125
oct166331330
964365710
1031044312
1116584062
12a491560
13657c420
1441a174c
152ad34ac
hex1d9b2d8

31044312 has 96 divisors (see below), whose sum is σ = 95921280. Its totient is φ = 8985600.

The previous prime is 31044311. The next prime is 31044313. The reversal of 31044312 is 21344013.

31044312 is a `hidden beast` number, since 310 + 44 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (31044311) and next prime (31044313).

It is a super-3 number, since 3×310443123 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31044311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14937 + ... + 16887.

It is an arithmetic number, because the mean of its divisors is an integer number (999180).

Almost surely, 231044312 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 31044312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47960640).

31044312 is an abundant number, since it is smaller than the sum of its proper divisors (64876968).

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

31044312 is a wasteful number, since it uses less digits than its factorization.

31044312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 31044312 is about 5571.7422768825. The cubic root of 31044312 is about 314.2876723215.

Adding to 31044312 its reverse (21344013), we get a palindrome (52388325).

The spelling of 31044312 in words is "thirty-one million, forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 204 221 234 306 312 408 442 468 612 663 884 936 1224 1326 1768 1951 1989 2652 3902 3978 5304 5853 7804 7956 11706 15608 15912 17559 23412 25363 33167 35118 46824 50726 66334 70236 76089 99501 101452 132668 140472 152178 199002 202904 228267 265336 298503 304356 398004 431171 456534 597006 608712 796008 862342 913068 1194012 1293513 1724684 1826136 2388024 2587026 3449368 3880539 5174052 7761078 10348104 15522156 31044312