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327065364 = 22352941283
BaseRepresentation
bin10011011111101…
…001111100010100
3211210102122100000
4103133221330110
51132212042424
652242051300
711051003223
oct2337517424
9753378300
10327065364
1115869005a
1291649b30
13529b6102
143161acba
151daa83c9
hex137e9f14

327065364 has 144 divisors (see below), whose sum is σ = 911776320. Its totient is φ = 102332160.

The previous prime is 327065351. The next prime is 327065369. The reversal of 327065364 is 463560723.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327065369) 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, 1155567 + ... + 1155849.

It is an arithmetic number, because the mean of its divisors is an integer number (6331780).

Almost surely, 2327065364 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 327065364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455888160).

327065364 is an abundant number, since it is smaller than the sum of its proper divisors (584710956).

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

327065364 is a wasteful number, since it uses less digits than its factorization.

327065364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 327065364 is about 18084.9485484477. The cubic root of 327065364 is about 688.9877785698.

The spelling of 327065364 in words is "three hundred twenty-seven million, sixty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 41 54 58 81 82 87 108 116 123 162 164 174 243 246 261 283 324 348 369 486 492 522 566 738 783 849 972 1044 1107 1132 1189 1476 1566 1698 2214 2349 2378 2547 3132 3321 3396 3567 4428 4698 4756 5094 6642 7047 7134 7641 8207 9396 9963 10188 10701 11603 13284 14094 14268 15282 16414 19926 21402 22923 23206 24621 28188 30564 32103 32828 34809 39852 42804 45846 46412 49242 64206 68769 69618 73863 91692 96309 98484 104427 128412 137538 139236 147726 192618 208854 221589 275076 288927 295452 313281 336487 385236 417708 443178 577854 626562 664767 672974 886356 939843 1009461 1155708 1253124 1329534 1345948 1879686 1994301 2018922 2659068 2819529 3028383 3759372 3988602 4037844 5639058 6056766 7977204 9085149 11278116 12113532 18170298 27255447 36340596 54510894 81766341 109021788 163532682 327065364