323738240 has 128 divisors (see below), whose sum is σ = 893030400. Its totient is φ = 109928448.

The previous prime is 323738227. The next prime is 323738267. The reversal of 323738240 is 42837323.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 323738197 and 323738206.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 568676 + ... + 569244.

It is an arithmetic number, because the mean of its divisors is an integer number (6976800).

Almost surely, 2^323738240 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 323738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446515200).

323738240 is an abundant number, since it is smaller than the sum of its proper divisors (569292160).

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

323738240 is a wasteful number, since it uses less digits than its factorization.

323738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 323738240 is about 17992.7274197104. The cubic root of 323738240 is about 686.6435324890.

The spelling of 323738240 in words is "three hundred twenty-three million, seven hundred thirty-eight thousand, two hundred forty".