303240 has 96 divisors (see below), whose sum is σ = 1097280. Its totient is φ = 65664.

The previous prime is 303217. The next prime is 303257. The reversal of 303240 is 42303.

303240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 303240.

It is an unprimeable number.

303240 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15951 + ... + 15969.

It is an arithmetic number, because the mean of its divisors is an integer number (11430).

2³⁰³²⁴⁰ is an apocalyptic number.

303240 is a gapful number since it is divisible by the number (30) 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 303240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548640).

303240 is an abundant number, since it is smaller than the sum of its proper divisors (794040).

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

303240 is a wasteful number, since it uses less digits than its factorization.

303240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 303240 is about 550.6723163552. The cubic root of 303240 is about 67.1834284535.

Adding to 303240 its reverse (42303), we get a palindrome (345543).

The spelling of 303240 in words is "three hundred three thousand, two hundred forty", and thus it is an iban number.