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327031056 = 24321121372
BaseRepresentation
bin10011011111100…
…001100100010000
3211210100220021100
4103133201210100
51132204443211
652241224400
711050501212
oct2337414420
9753326240
10327031056
11158667300
1291632100
13529a3601
143160c5b2
151da9d156
hex137e1910

327031056 has 135 divisors (see below), whose sum is σ = 1013396293. Its totient is φ = 98376960.

The previous prime is 327031037. The next prime is 327031063. The reversal of 327031056 is 650130723.

It is a happy number.

The square root of 327031056 is 18084.

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

It can be written as a sum of positive squares in only one way, i.e., 192099600 + 134931456 = 13860^2 + 11616^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 2387020 + ... + 2387156.

Almost surely, 2327031056 is an apocalyptic number.

327031056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

327031056 is the 18084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327031056

327031056 is an abundant number, since it is smaller than the sum of its proper divisors (686365237).

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

327031056 is a wasteful number, since it uses less digits than its factorization.

327031056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The cubic root of 327031056 is about 688.9636869336.

Adding to 327031056 its reverse (650130723), we get a palindrome (977161779).

The spelling of 327031056 in words is "three hundred twenty-seven million, thirty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 137 144 176 198 242 264 274 363 396 411 484 528 548 726 792 822 968 1089 1096 1233 1452 1507 1584 1644 1936 2178 2192 2466 2904 3014 3288 4356 4521 4932 5808 6028 6576 8712 9042 9864 12056 13563 16577 17424 18084 18769 19728 24112 27126 33154 36168 37538 49731 54252 56307 66308 72336 75076 99462 108504 112614 132616 149193 150152 168921 198924 206459 217008 225228 265232 298386 300304 337842 397848 412918 450456 596772 619377 675684 795696 825836 900912 1193544 1238754 1351368 1651672 1858131 2271049 2387088 2477508 2702736 3303344 3716262 4542098 4955016 6813147 7432524 9084196 9910032 13626294 14865048 18168392 20439441 27252588 29730096 36336784 40878882 54505176 81757764 109010352 163515528 327031056