240312 has 64 divisors (see below), whose sum is σ = 691200. Its totient is φ = 69120.

The previous prime is 240287. The next prime is 240319. The reversal of 240312 is 213042.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 240312.

It is not an unprimeable number, because it can be changed into a prime (240319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7737 + ... + 7767.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2²⁴⁰³¹² 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 240312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345600).

240312 is an abundant number, since it is smaller than the sum of its proper divisors (450888).

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

240312 is a wasteful number, since it uses less digits than its factorization.

240312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 240312 is about 490.2162787995. The cubic root of 240312 is about 62.1715678065.

Adding to 240312 its reverse (213042), we get a palindrome (453354).

It can be divided in two parts, 2403 and 12, that added together give a triangular number (2415 = T₆₉).

The spelling of 240312 in words is "two hundred forty thousand, three hundred twelve", and thus it is an iban number.