323212320 has 144 divisors (see below), whose sum is σ = 1107713880. Its totient is φ = 85819392.

The previous prime is 323212297. The next prime is 323212321. The reversal of 323212320 is 23212323.

It is a happy number.

323212320 is a `hidden beast` number, since 323 + 21 + 2 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 303177744 + 20034576 = 17412^2 + 4476^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 323212293 and 323212302.

It is not an unprimeable number, because it can be changed into a prime (323212321) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 559872 + ... + 560448.

Almost surely, 2^323212320 is an apocalyptic number.

323212320 is a gapful number since it is divisible by the number (30) 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 323212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553856940).

323212320 is an abundant number, since it is smaller than the sum of its proper divisors (784501560).

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

323212320 is a wasteful number, since it uses less digits than its factorization.

323212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 323212320 is about 17978.1066856329. The cubic root of 323212320 is about 686.2715083786.

Adding to 323212320 its reverse (23212323), we get a palindrome (346424643).

The spelling of 323212320 in words is "three hundred twenty-three million, two hundred twelve thousand, three hundred twenty".