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31494144 = 212311233
BaseRepresentation
bin111100000100…
…1000000000000
32012021001211210
41320021000000
531030303034
63043010120
7531460443
oct170110000
965231753
1031494144
1116861020
12a669940
1366a90b6
14427b65a
152b718e9
hex1e09000

31494144 has 104 divisors (see below), whose sum is σ = 92001312. Its totient is φ = 9502720.

The previous prime is 31494143. The next prime is 31494157. The reversal of 31494144 is 44149413.

It is a super-2 number, since 2×314941442 = 1983762212585472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31494143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135052 + ... + 135284.

It is an arithmetic number, because the mean of its divisors is an integer number (884628).

Almost surely, 231494144 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 31494144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46000656).

31494144 is an abundant number, since it is smaller than the sum of its proper divisors (60507168).

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

31494144 is a wasteful number, since it uses less digits than its factorization.

31494144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 249 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 31494144 is about 5611.9643619681. The cubic root of 31494144 is about 315.7984079811.

The spelling of 31494144 in words is "thirty-one million, four hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 233 256 264 352 384 466 512 528 699 704 768 932 1024 1056 1398 1408 1536 1864 2048 2112 2563 2796 2816 3072 3728 4096 4224 5126 5592 5632 6144 7456 7689 8448 10252 11184 11264 12288 14912 15378 16896 20504 22368 22528 29824 30756 33792 41008 44736 45056 59648 61512 67584 82016 89472 119296 123024 135168 164032 178944 238592 246048 328064 357888 477184 492096 656128 715776 954368 984192 1312256 1431552 1968384 2624512 2863104 3936768 5249024 7873536 10498048 15747072 31494144