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31144338 = 23641521
BaseRepresentation
bin111011011001…
…1100110010010
32011121022000000
41312303212102
530433104323
63031310430
7525502551
oct166634622
964538000
1031144338
1116642225
12a51b416
1365b5b04
1441c9d98
152b02e43
hex1db3992

31144338 has 56 divisors (see below), whose sum is σ = 71888796. Its totient is φ = 10108800.

The previous prime is 31144313. The next prime is 31144349. The reversal of 31144338 is 83344113.

It can be written as a sum of positive squares in 2 ways, for example, as 26594649 + 4549689 = 5157^2 + 2133^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 59518 + ... + 60038.

Almost surely, 231144338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31144338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35944398).

31144338 is an abundant number, since it is smaller than the sum of its proper divisors (40744458).

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

31144338 is an equidigital number, since it uses as much as digits as its factorization.

31144338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 567 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 31144338 is about 5580.7112449938. The cubic root of 31144338 is about 314.6248595367.

The spelling of 31144338 in words is "thirty-one million, one hundred forty-four thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 243 246 369 486 521 729 738 1042 1107 1458 1563 2214 3126 3321 4689 6642 9378 9963 14067 19926 21361 28134 29889 42201 42722 59778 64083 84402 126603 128166 192249 253206 379809 384498 576747 759618 1153494 1730241 3460482 5190723 10381446 15572169 31144338