Search a number
-
+
324553040 = 24572512309
BaseRepresentation
bin10011010110000…
…100100101010000
3211121201000001222
4103112010211100
51131041144130
652112144212
711020440530
oct2326044520
9747630058
10324553040
11157224559
1290838068
1352316726
14311654c0
151d75dce5
hex13584950

324553040 has 80 divisors (see below), whose sum is σ = 866194560. Its totient is φ = 110784000.

The previous prime is 324553039. The next prime is 324553111. The reversal of 324553040 is 40355423.

324553040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139406 + ... + 141714.

It is an arithmetic number, because the mean of its divisors is an integer number (10827432).

Almost surely, 2324553040 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 324553040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433097280).

324553040 is an abundant number, since it is smaller than the sum of its proper divisors (541641520).

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

324553040 is a wasteful number, since it uses less digits than its factorization.

324553040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 324553040 is about 18015.3556723147. The cubic root of 324553040 is about 687.2191090540.

The spelling of 324553040 in words is "three hundred twenty-four million, five hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 251 280 502 560 1004 1255 1757 2008 2309 2510 3514 4016 4618 5020 7028 8785 9236 10040 11545 14056 16163 17570 18472 20080 23090 28112 32326 35140 36944 46180 64652 70280 80815 92360 129304 140560 161630 184720 258608 323260 579559 646520 1159118 1293040 2318236 2897795 4056913 4636472 5795590 8113826 9272944 11591180 16227652 20284565 23182360 32455304 40569130 46364720 64910608 81138260 162276520 324553040