323813424 has 120 divisors (see below), whose sum is σ = 928829440. Its totient is φ = 97130880.

The previous prime is 323813419. The next prime is 323813429. The reversal of 323813424 is 424318323.

It is an interprime number because it is at equal distance from previous prime (323813419) and next prime (323813429).

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

It is a junction number, because it is equal to n+sod(n) for n = 323813391 and 323813400.

It is not an unprimeable number, because it can be changed into a prime (323813429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 737397 + ... + 737835.

Almost surely, 2^323813424 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 323813424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464414720).

323813424 is an abundant number, since it is smaller than the sum of its proper divisors (605016016).

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

323813424 is a wasteful number, since it uses less digits than its factorization.

323813424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 582 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 323813424 is about 17994.8165870064. The cubic root of 323813424 is about 686.6966830544.

The spelling of 323813424 in words is "three hundred twenty-three million, eight hundred thirteen thousand, four hundred twenty-four".