Search a number
-
+
324792468 = 2232711139013
BaseRepresentation
bin10011010110111…
…111000010010100
3211122011011111200
4103112333002110
51131121324333
652121232500
711022455550
oct2326770224
9748134450
10324792468
11157378430
1290932730
135239b6c0
14311c8860
151d7a9c13
hex135bf094

324792468 has 144 divisors (see below), whose sum is σ = 1102448256. Its totient is φ = 77863680.

The previous prime is 324792437. The next prime is 324792469. The reversal of 324792468 is 864297423.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324792469) 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, 31530 + ... + 40542.

Almost surely, 2324792468 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 324792468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551224128).

324792468 is an abundant number, since it is smaller than the sum of its proper divisors (777655788).

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

324792468 is a wasteful number, since it uses less digits than its factorization.

324792468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9054 (or 9049 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 324792468 is about 18021.9995560981. Note that the first 3 decimals coincide. The cubic root of 324792468 is about 687.3880583802.

The spelling of 324792468 in words is "three hundred twenty-four million, seven hundred ninety-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 126 132 143 154 156 182 198 231 234 252 273 286 308 364 396 429 462 468 546 572 693 819 858 924 1001 1092 1287 1386 1638 1716 2002 2574 2772 3003 3276 4004 5148 6006 9009 9013 12012 18018 18026 27039 36036 36052 54078 63091 81117 99143 108156 117169 126182 162234 189273 198286 234338 252364 297429 324468 351507 378546 396572 468676 567819 594858 694001 703014 757092 820183 892287 1054521 1135638 1189716 1288859 1388002 1406028 1640366 1784574 2082003 2109042 2271276 2460549 2577718 2776004 3280732 3569148 3866577 4164006 4218084 4921098 5155436 6246009 7381647 7733154 8328012 9022013 9842196 11599731 12492018 14763294 15466308 18044026 23199462 24984036 27066039 29526588 36088052 46398924 54132078 81198117 108264156 162396234 324792468