Search a number
-
+
323312 = 24112167
BaseRepresentation
bin1001110111011110000
3121102111112
41032323300
540321222
610532452
72514413
oct1167360
9542445
10323312
11200a00
12137128
13b4212
1485b7a
1565be2
hex4eef0

323312 has 30 divisors (see below), whose sum is σ = 692664. Its totient is φ = 146080.

The previous prime is 323273. The next prime is 323333. The reversal of 323312 is 213323.

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 323312.

It is an unprimeable number.

323312 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 1853 + ... + 2019.

2323312 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 323312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346332).

323312 is an abundant number, since it is smaller than the sum of its proper divisors (369352).

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

323312 is a wasteful number, since it uses less digits than its factorization.

323312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 180 counting only the distinct ones).

The product of its digits is 108, while the sum is 14.

The square root of 323312 is about 568.6053112661. The cubic root of 323312 is about 68.6342050773.

Adding to 323312 its reverse (213323), we get a palindrome (536635).

The spelling of 323312 in words is "three hundred twenty-three thousand, three hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 8 11 16 22 44 88 121 167 176 242 334 484 668 968 1336 1837 1936 2672 3674 7348 14696 20207 29392 40414 80828 161656 323312