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931934484 = 223413972281
BaseRepresentation
bin110111100011000…
…011000100010100
32101221121011210000
4313203003010110
53402033400414
6232250331300
732044212105
oct6743030424
92357534700
10931934484
11439064198
12220129b30
1311b0c8030
148bab03ac
1556c38b09
hex378c3114

931934484 has 120 divisors (see below), whose sum is σ = 2651875688. Its totient is φ = 283668480.

The previous prime is 931934483. The next prime is 931934489. The reversal of 931934484 is 484439139.

931934484 = 1363 + 1373 + ... + 2523.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 45562500 + 886371984 = 6750^2 + 29772^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (931934483) 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 39 ways as a sum of consecutive naturals, for example, 407424 + ... + 409704.

Almost surely, 2931934484 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 931934484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325937844).

931934484 is an abundant number, since it is smaller than the sum of its proper divisors (1719941204).

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

931934484 is a wasteful number, since it uses less digits than its factorization.

931934484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2396 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 931934484 is about 30527.6020021226. The cubic root of 931934484 is about 976.7763310071.

The spelling of 931934484 in words is "nine hundred thirty-one million, nine hundred thirty-four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 97 108 117 156 162 194 234 291 324 351 388 468 582 702 873 1053 1164 1261 1404 1746 2106 2281 2522 2619 3492 3783 4212 4562 5044 5238 6843 7566 7857 9124 10476 11349 13686 15132 15714 20529 22698 27372 29653 31428 34047 41058 45396 59306 61587 68094 82116 88959 102141 118612 123174 136188 177918 184761 204282 221257 246348 266877 355836 369522 408564 442514 533754 663771 739044 800631 885028 1067508 1327542 1601262 1991313 2401893 2655084 2876341 3202524 3982626 4803786 5752682 5973939 7965252 8629023 9607572 11505364 11947878 17258046 17921817 23895756 25887069 34516092 35843634 51774138 71687268 77661207 103548276 155322414 232983621 310644828 465967242 931934484