Search a number
-
+
324381792 = 2537482711
BaseRepresentation
bin10011010101011…
…010110001100000
3211121101022011110
4103111122301200
51131020204132
652104343320
711016125340
oct2325326140
9747338143
10324381792
11157117929
1290774b40
13522867b7
143111cd20
151d7281cc
hex1355ac60

324381792 has 48 divisors (see below), whose sum is σ = 973147392. Its totient is φ = 92680320.

The previous prime is 324381787. The next prime is 324381797. The reversal of 324381792 is 297183423.

It is an interprime number because it is at equal distance from previous prime (324381787) and next prime (324381797).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3243817922 = 210447093962262528, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 324381792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324381797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240684 + ... + 242027.

It is an arithmetic number, because the mean of its divisors is an integer number (20273904).

Almost surely, 2324381792 is an apocalyptic number.

324381792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

324381792 is an abundant number, since it is smaller than the sum of its proper divisors (648765600).

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

324381792 is a wasteful number, since it uses less digits than its factorization.

324381792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482731 (or 482723 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 324381792 is about 18010.6022109201. The cubic root of 324381792 is about 687.0982191038.

The spelling of 324381792 in words is "three hundred twenty-four million, three hundred eighty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 482711 965422 1448133 1930844 2896266 3378977 3861688 5792532 6757954 7723376 10136931 11585064 13515908 15446752 20273862 23170128 27031816 40547724 46340256 54063632 81095448 108127264 162190896 324381792