Search a number
-
+
682324884 = 223419271409
BaseRepresentation
bin101000101010110…
…111001110010100
31202112220200210000
4220222313032110
52344133344014
6151412331300
722623444243
oct5052671624
91675820700
10682324884
1132017786a
12170613b30
13ab491247
146689695a
153ed80509
hex28ab7394

682324884 has 120 divisors (see below), whose sum is σ = 1889148800. Its totient is φ = 214151040.

The previous prime is 682324883. The next prime is 682324891. The reversal of 682324884 is 488423286.

682324884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6823248842 = 931134494651226912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682324883) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1668072 + ... + 1668480.

Almost surely, 2682324884 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 682324884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944574400).

682324884 is an abundant number, since it is smaller than the sum of its proper divisors (1206823916).

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

682324884 is a wasteful number, since it uses less digits than its factorization.

682324884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 704 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 682324884 is about 26121.3491994575. The cubic root of 682324884 is about 880.3669630007.

The spelling of 682324884 in words is "six hundred eighty-two million, three hundred twenty-four thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 271 324 342 409 513 542 684 813 818 1026 1084 1227 1539 1626 1636 2052 2439 2454 3078 3252 3681 4878 4908 5149 6156 7317 7362 7771 9756 10298 11043 14634 14724 15447 15542 20596 21951 22086 23313 29268 30894 31084 33129 43902 44172 46341 46626 61788 66258 69939 87804 92682 93252 110839 132516 139023 139878 185364 209817 221678 278046 279756 332517 417069 419634 443356 556092 629451 665034 834138 839268 997551 1258902 1330068 1668276 1995102 2105941 2517804 2992653 3990204 4211882 5985306 6317823 8423764 8977959 11970612 12635646 17955918 18953469 25271292 35911836 37906938 56860407 75813876 113720814 170581221 227441628 341162442 682324884