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31374144 = 263254469
BaseRepresentation
bin111011110101…
…1101101000000
32012000222020100
41313223231000
531012433034
63040242400
7530450544
oct167535500
965028210
1031374144
111678994a
12a610400
1366665a9
144249a24
152b4b099
hex1debb40

31374144 has 42 divisors (see below), whose sum is σ = 89929970. Its totient is φ = 10457856.

The previous prime is 31374137. The next prime is 31374151. The reversal of 31374144 is 44147313.

It is an interprime number because it is at equal distance from previous prime (31374137) and next prime (31374151).

It can be written as a sum of positive squares in only one way, i.e., 29160000 + 2214144 = 5400^2 + 1488^2 .

It is a super-3 number, since 3×313741443 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26659 + ... + 27810.

Almost surely, 231374144 is an apocalyptic number.

It is an amenable number.

31374144 is an abundant number, since it is smaller than the sum of its proper divisors (58555826).

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

31374144 is a wasteful number, since it uses less digits than its factorization.

31374144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54487 (or 54474 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 31374144 is about 5601.2627147814. The cubic root of 31374144 is about 315.3968090711.

The spelling of 31374144 in words is "thirty-one million, three hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 54469 108938 163407 217876 326814 435752 490221 653628 871504 980442 1307256 1743008 1960884 2614512 3486016 3921768 5229024 7843536 10458048 15687072 31374144