Search a number
-
+
324319086 = 233713312129
BaseRepresentation
bin10011010101001…
…011011101101110
3211121021010011000
4103111023131232
51131011202321
652103141130
711015444460
oct2325133556
9747233130
10324319086
11157084803
12907447a6
13522640b0
1431104130
151d714826
hex1354b76e

324319086 has 128 divisors (see below), whose sum is σ = 916070400. Its totient is φ = 82736640.

The previous prime is 324319049. The next prime is 324319091. The reversal of 324319086 is 680913423.

It is a self number, because there is not a number n which added to its sum of digits gives 324319086.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 151270 + ... + 153398.

It is an arithmetic number, because the mean of its divisors is an integer number (7156800).

Almost surely, 2324319086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 324319086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458035200).

324319086 is an abundant number, since it is smaller than the sum of its proper divisors (591751314).

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

324319086 is a wasteful number, since it uses less digits than its factorization.

324319086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 324319086 is about 18008.8613188064. The cubic root of 324319086 is about 687.0539421041.

The spelling of 324319086 in words is "three hundred twenty-four million, three hundred nineteen thousand, eighty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 31 39 42 54 62 63 78 91 93 117 126 182 186 189 217 234 273 279 351 378 403 434 546 558 651 702 806 819 837 1209 1302 1638 1674 1953 2129 2418 2457 2821 3627 3906 4258 4914 5642 5859 6387 7254 8463 10881 11718 12774 14903 16926 19161 21762 25389 27677 29806 38322 44709 50778 55354 57483 65999 76167 83031 89418 114966 131998 134127 152334 166062 193739 197997 249093 268254 387478 395994 402381 461993 498186 581217 593991 747279 804762 857987 923986 1162434 1187982 1385979 1494558 1715974 1743651 1781973 2573961 2771958 3487302 3563946 4157937 5147922 5230953 6005909 7721883 8315874 10461906 12011818 12473811 15443766 18017727 23165649 24947622 36035454 46331298 54053181 108106362 162159543 324319086