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323928 = 233211409
BaseRepresentation
bin1001111000101011000
3121110100100
41033011120
540331203
610535400
72516253
oct1170530
9543310
10323928
11201410
12137560
13b4597
148609a
1565ea3
hex4f158

323928 has 48 divisors (see below), whose sum is σ = 959400. Its totient is φ = 97920.

The previous prime is 323927. The next prime is 323933. The reversal of 323928 is 829323.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2592) is a multiple of the sum of its prime factors (432).

It is a nialpdrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 323928.

It is not an unprimeable number, because it can be changed into a prime (323923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 588 + ... + 996.

2323928 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 323928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479700).

323928 is an abundant number, since it is smaller than the sum of its proper divisors (635472).

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

323928 is a wasteful number, since it uses less digits than its factorization.

323928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 425 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 323928 is about 569.1467297631. The cubic root of 323928 is about 68.6777665574.

It can be divided in two parts, 32392 and 8, that added together give a square (32400 = 1802).

The spelling of 323928 in words is "three hundred twenty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 409 792 818 1227 1636 2454 3272 3681 4499 4908 7362 8998 9816 13497 14724 17996 26994 29448 35992 40491 53988 80982 107976 161964 323928