323414120 has 96 divisors (see below), whose sum is σ = 783476280. Its totient is φ = 120115200.

The previous prime is 323414101. The next prime is 323414141. The reversal of 323414120 is 21414323.

It can be written as a sum of positive squares in 12 ways, for example, as 144336196 + 179077924 = 12014^2 + 13382^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 323414092 and 323414101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1167422 + ... + 1167698.

Almost surely, 2^323414120 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 323414120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391738140).

323414120 is an abundant number, since it is smaller than the sum of its proper divisors (460062160).

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

323414120 is a wasteful number, since it uses less digits than its factorization.

323414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 323414120 is about 17983.7181917422. The cubic root of 323414120 is about 686.4143048929.

Adding to 323414120 its reverse (21414323), we get a palindrome (344828443).

The spelling of 323414120 in words is "three hundred twenty-three million, four hundred fourteen thousand, one hundred twenty".