240306 has 24 divisors (see below), whose sum is σ = 529872. Its totient is φ = 72600.

The previous prime is 240287. The next prime is 240319. The reversal of 240306 is 603042.

240306 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 240306.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561 + ... + 891.

It is an arithmetic number, because the mean of its divisors is an integer number (22078).

2²⁴⁰³⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264936).

240306 is an abundant number, since it is smaller than the sum of its proper divisors (289566).

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

240306 is a wasteful number, since it uses less digits than its factorization.

240306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 240306 is about 490.2101590135. The cubic root of 240306 is about 62.1710503784.

Adding to 240306 its reverse (603042), we get a palindrome (843348).

The spelling of 240306 in words is "two hundred forty thousand, three hundred six".