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31374328384 = 267231632
BaseRepresentation
bin11101001110000011…
…100100001001000000
32222222112100000111101
4131032003210021000
51003223312002014
622225124424144
72160325251100
oct351603441100
988875300441
1031374328384
111233aa99313
1260b7248054
132c60025a69
141738b97200
15c395ec474
hex74e0e4240

31374328384 has 63 divisors (see below), whose sum is σ = 72445979187. Its totient is φ = 13441889664.

The previous prime is 31374328369. The next prime is 31374328387. The reversal of 31374328384 is 48382347313.

The square root of 31374328384 is 177128.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31374328387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9917587 + ... + 9920749.

Almost surely, 231374328384 is an apocalyptic number.

31374328384 is the 177128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31374328384

31374328384 is an abundant number, since it is smaller than the sum of its proper divisors (41071650803).

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

31374328384 is an frugal number, since it uses more digits than its factorization.

31374328384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6352 (or 3172 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 46.

The spelling of 31374328384 in words is "thirty-one billion, three hundred seventy-four million, three hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 3163 6326 12652 22141 25304 44282 50608 88564 101216 154987 177128 202432 309974 354256 619948 708512 1239896 1417024 2479792 4959584 9919168 10004569 20009138 40018276 70031983 80036552 140063966 160073104 280127932 320146208 490223881 560255864 640292416 980447762 1120511728 1960895524 2241023456 3921791048 4482046912 7843582096 15687164192 31374328384