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323568 = 24337107
BaseRepresentation
bin1001110111111110000
3121102212000
41032333300
540323233
610534000
72515230
oct1167760
9542760
10323568
11201113
12137300
13b437b
1485cc0
1565d13
hex4eff0

323568 has 80 divisors (see below), whose sum is σ = 1071360. Its totient is φ = 91584.

The previous prime is 323567. The next prime is 323579. The reversal of 323568 is 865323.

It can be divided in two parts, 32 and 3568, that added together give a square (3600 = 602).

323568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2971 + ... + 3077.

It is an arithmetic number, because the mean of its divisors is an integer number (13392).

2323568 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 323568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535680).

323568 is an abundant number, since it is smaller than the sum of its proper divisors (747792).

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

323568 is a wasteful number, since it uses less digits than its factorization.

323568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 119 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 323568 is about 568.8303789356. The cubic root of 323568 is about 68.6523152630.

The spelling of 323568 in words is "three hundred twenty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 107 108 112 126 144 168 189 214 216 252 321 336 378 428 432 504 642 749 756 856 963 1008 1284 1498 1512 1712 1926 2247 2568 2889 2996 3024 3852 4494 5136 5778 5992 6741 7704 8988 11556 11984 13482 15408 17976 20223 23112 26964 35952 40446 46224 53928 80892 107856 161784 323568