240013312 has 104 divisors (see below), whose sum is σ = 599188032. Its totient is φ = 93388800.

The previous prime is 240013289. The next prime is 240013321. The reversal of 240013312 is 213310042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 315012 + ... + 315772.

Almost surely, 2^240013312 is an apocalyptic number.

240013312 is a gapful number since it is divisible by the number (22) 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 240013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299594016).

240013312 is an abundant number, since it is smaller than the sum of its proper divisors (359174720).

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

240013312 is an equidigital number, since it uses as much as digits as its factorization.

240013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 240013312 is about 15492.3630218247. The cubic root of 240013312 is about 621.4579908337.

Adding to 240013312 its reverse (213310042), we get a palindrome (453323354).

The spelling of 240013312 in words is "two hundred forty million, thirteen thousand, three hundred twelve".