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31044024 = 233211192063
BaseRepresentation
bin111011001101…
…1000110111000
32011102012101200
41312123012320
530421402044
63025214200
7524604234
oct166330670
964365350
1031044024
1116583920
12a491360
13657c25b
1441a15c4
152ad3369
hex1d9b1b8

31044024 has 96 divisors (see below), whose sum is σ = 96595200. Its totient is φ = 8907840.

The previous prime is 31044019. The next prime is 31044029. The reversal of 31044024 is 42044013.

It is an interprime number because it is at equal distance from previous prime (31044019) and next prime (31044029).

It is a super-2 number, since 2×310440242 = 1927462852225152, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 31043988 and 31044006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31044029) 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, 14017 + ... + 16079.

It is an arithmetic number, because the mean of its divisors is an integer number (1006200).

Almost surely, 231044024 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 31044024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48297600).

31044024 is an abundant number, since it is smaller than the sum of its proper divisors (65551176).

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

31044024 is a wasteful number, since it uses less digits than its factorization.

31044024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 31044024 is about 5571.7164321239. The cubic root of 31044024 is about 314.2867004298.

Adding to 31044024 its reverse (42044013), we get a palindrome (73088037).

The spelling of 31044024 in words is "thirty-one million, forty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 132 152 171 198 209 228 264 342 396 418 456 627 684 792 836 1254 1368 1672 1881 2063 2508 3762 4126 5016 6189 7524 8252 12378 15048 16504 18567 22693 24756 37134 39197 45386 49512 68079 74268 78394 90772 117591 136158 148536 156788 181544 204237 235182 272316 313576 352773 408474 431167 470364 544632 705546 816948 862334 940728 1293501 1411092 1633896 1724668 2587002 2822184 3449336 3880503 5174004 7761006 10348008 15522012 31044024