240344320 has 72 divisors (see below), whose sum is σ = 581607936. Its totient is φ = 95152128.

The previous prime is 240344309. The next prime is 240344353. The reversal of 240344320 is 23443042.

It is a junction number, because it is equal to n+sod(n) for n = 240344291 and 240344300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130929 + ... + 132751.

It is an arithmetic number, because the mean of its divisors is an integer number (8077888).

Almost surely, 2^240344320 is an apocalyptic number.

240344320 is a gapful number since it is divisible by the number (20) 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 240344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290803968).

240344320 is an abundant number, since it is smaller than the sum of its proper divisors (341263616).

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

240344320 is a wasteful number, since it uses less digits than its factorization.

240344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 240344320 is about 15503.0422820813. The cubic root of 240344320 is about 621.7435487081.

Adding to 240344320 its reverse (23443042), we get a palindrome (263787362).

The spelling of 240344320 in words is "two hundred forty million, three hundred forty-four thousand, three hundred twenty".