Search a number
-
+
327042716 = 2271113261103
BaseRepresentation
bin10011011111100…
…100011010011100
3211210101111021012
4103133210122130
51132210331331
652241354352
711050550210
oct2337443234
9753344235
10327042716
11158675040
12916389b8
13529a8a00
1431612940
151daa182b
hex137e469c

327042716 has 144 divisors (see below), whose sum is σ = 792949248. Its totient is φ = 114566400.

The previous prime is 327042713. The next prime is 327042731. The reversal of 327042716 is 617240723.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327042713) 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, 3175121 + ... + 3175223.

It is an arithmetic number, because the mean of its divisors is an integer number (5506592).

Almost surely, 2327042716 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 327042716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396474624).

327042716 is an abundant number, since it is smaller than the sum of its proper divisors (465906532).

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

327042716 is a wasteful number, since it uses less digits than its factorization.

327042716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 327042716 is about 18084.3223815547. The cubic root of 327042716 is about 688.9718749644.

The spelling of 327042716 in words is "three hundred twenty-seven million, forty-two thousand, seven hundred sixteen".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 61 77 91 103 122 143 154 169 182 206 244 286 308 338 364 412 427 572 671 676 721 793 854 1001 1133 1183 1339 1342 1442 1586 1708 1859 2002 2266 2366 2678 2684 2884 3172 3718 4004 4532 4697 4732 5356 5551 6283 7436 7931 8723 9373 9394 10309 11102 12566 13013 14729 15862 17407 17446 18746 18788 20618 22204 25132 26026 29458 31724 34814 34892 37492 41236 43981 52052 58916 61061 69113 69628 72163 81679 87962 103103 113399 121849 122122 138226 144326 163358 175924 191477 206206 226798 243698 244244 276452 288652 326716 382954 412412 453596 483791 487396 571753 765908 793793 898469 967582 1061827 1143506 1340339 1587586 1796938 1935164 2123654 2287012 2680678 3175172 3593876 4247308 5361356 6289283 7432789 11680097 12578566 14865578 23360194 25157132 29731156 46720388 81760679 163521358 327042716