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323204 = 22721797
BaseRepresentation
bin1001110111010000100
3121102100112
41032322010
540320304
610532152
72514200
oct1167204
9542315
10323204
11200912
12137058
13b415b
1485b00
1565b6e
hex4ee84

323204 has 36 divisors (see below), whose sum is σ = 703836. Its totient is φ = 129024.

The previous prime is 323201. The next prime is 323207. The reversal of 323204 is 402323.

It is an interprime number because it is at equal distance from previous prime (323201) and next prime (323207).

It can be written as a sum of positive squares in 2 ways, for example, as 200704 + 122500 = 448^2 + 350^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a d-powerful number, because it can be written as 38 + 211 + 215 + 39 + 0 + 49 .

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 323204.

It is not an unprimeable number, because it can be changed into a prime (323201) 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, 3284 + ... + 3380.

It is an arithmetic number, because the mean of its divisors is an integer number (19551).

2323204 is an apocalyptic number.

323204 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351918).

323204 is an abundant number, since it is smaller than the sum of its proper divisors (380632).

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

323204 is a wasteful number, since it uses less digits than its factorization.

323204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 323204 is about 568.5103341189. The cubic root of 323204 is about 68.6265619754.

Adding to 323204 its reverse (402323), we get a palindrome (725527).

The spelling of 323204 in words is "three hundred twenty-three thousand, two hundred four", and thus it is an iban number.

Divisors: 1 2 4 7 14 17 28 34 49 68 97 98 119 194 196 238 388 476 679 833 1358 1649 1666 2716 3298 3332 4753 6596 9506 11543 19012 23086 46172 80801 161602 323204