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327040308 = 223372292131
BaseRepresentation
bin10011011111100…
…011110100110100
3211210101100222000
4103133203310310
51132210242213
652241335300
711050540200
oct2337436464
9753340860
10327040308
11158673251
1291637530
13529a789a
1431611b00
151daa0c73
hex137e3d34

327040308 has 144 divisors (see below), whose sum is σ = 1020801600. Its totient is φ = 90175680.

The previous prime is 327040303. The next prime is 327040309. The reversal of 327040308 is 803040723.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327040303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152403 + ... + 154533.

It is an arithmetic number, because the mean of its divisors is an integer number (7088900).

Almost surely, 2327040308 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 327040308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510400800).

327040308 is an abundant number, since it is smaller than the sum of its proper divisors (693761292).

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

327040308 is a wasteful number, since it uses less digits than its factorization.

327040308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 327040308 is about 18084.2558044283. The cubic root of 327040308 is about 688.9701840046.

The spelling of 327040308 in words is "three hundred twenty-seven million, forty thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 49 54 58 63 84 87 98 108 116 126 147 174 189 196 203 252 261 294 348 378 406 441 522 588 609 756 783 812 882 1044 1218 1323 1421 1566 1764 1827 2131 2436 2646 2842 3132 3654 4262 4263 5292 5481 5684 6393 7308 8524 8526 10962 12786 12789 14917 17052 19179 21924 25572 25578 29834 38358 38367 44751 51156 57537 59668 61799 76716 76734 89502 104419 115074 123598 134253 153468 179004 185397 208838 230148 247196 268506 313257 370794 402759 417676 432593 537012 556191 626514 741588 805518 865186 939771 1112382 1253028 1297779 1611036 1668573 1730372 1879542 2224764 2595558 2819313 3028151 3337146 3759084 3893337 5191116 5638626 6056302 6674292 7786674 9084453 11277252 11680011 12112604 15573348 18168906 23360022 27253359 36337812 46720044 54506718 81760077 109013436 163520154 327040308