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327993036 = 223717259229
BaseRepresentation
bin10011100011001…
…100011011001100
3211212011202212020
4103203030123030
51132431234121
652314010140
711061615630
oct2343143314
9755152766
10327993036
11159164028
1291a16950
1352c4c427
14317bcdc0
151dbdd1c6
hex138cc6cc

327993036 has 144 divisors (see below), whose sum is σ = 948998400. Its totient is φ = 86326272.

The previous prime is 327993023. The next prime is 327993037. The reversal of 327993036 is 630399723.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327993037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1432170 + ... + 1432398.

Almost surely, 2327993036 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 327993036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474499200).

327993036 is an abundant number, since it is smaller than the sum of its proper divisors (621005364).

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

327993036 is a wasteful number, since it uses less digits than its factorization.

327993036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 42.

The square root of 327993036 is about 18110.5780139674. The cubic root of 327993036 is about 689.6385672727.

The spelling of 327993036 in words is "three hundred twenty-seven million, nine hundred ninety-three thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 59 68 84 102 118 119 177 204 229 236 238 289 354 357 413 458 476 578 687 708 714 826 867 916 1003 1156 1239 1374 1428 1603 1652 1734 2006 2023 2478 2748 3009 3206 3468 3893 4012 4046 4809 4956 6018 6069 6412 7021 7786 8092 9618 11679 12036 12138 13511 14042 15572 17051 19236 21063 23358 24276 27022 27251 28084 34102 40533 42126 46716 51153 54044 54502 66181 68204 81066 81753 84252 94577 102306 109004 119357 132362 162132 163506 189154 198543 204612 229687 238714 264724 283731 327012 358071 378308 397086 459374 463267 477428 567462 689061 716142 794172 918748 926534 1134924 1378122 1389801 1432284 1607809 1853068 2756244 2779602 3215618 3904679 4823427 5559204 6431236 7809358 9646854 11714037 15618716 19293708 23428074 27332753 46856148 54665506 81998259 109331012 163996518 327993036