240314240 has 64 divisors (see below), whose sum is σ = 581094000. Its totient is φ = 95023104.

The previous prime is 240314237. The next prime is 240314251. The reversal of 240314240 is 42413042.

240314240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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

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 7 ways as a sum of consecutive naturals, for example, 54851 + ... + 59069.

Almost surely, 2^240314240 is an apocalyptic number.

240314240 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 240314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290547000).

240314240 is an abundant number, since it is smaller than the sum of its proper divisors (340779760).

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

240314240 is an equidigital number, since it uses as much as digits as its factorization.

240314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4327 (or 4315 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 240314240 is about 15502.0721195587. The cubic root of 240314240 is about 621.7176097743.

Adding to 240314240 its reverse (42413042), we get a palindrome (282727282).

The spelling of 240314240 in words is "two hundred forty million, three hundred fourteen thousand, two hundred forty".