303312 has 40 divisors (see below), whose sum is σ = 803520. Its totient is φ = 98560.

The previous prime is 303307. The next prime is 303313. The reversal of 303312 is 213303.

It is a happy number.

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 303312.

It is not an unprimeable number, because it can be changed into a prime (303313) by changing a digit.

303312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3364 + ... + 3452.

It is an arithmetic number, because the mean of its divisors is an integer number (20088).

2³⁰³³¹² 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 303312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401760).

303312 is an abundant number, since it is smaller than the sum of its proper divisors (500208).

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

303312 is a wasteful number, since it uses less digits than its factorization.

303312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 303312 is about 550.7376871070. The cubic root of 303312 is about 67.1887452807.

Adding to 303312 its reverse (213303), we get a palindrome (516615).

Subtracting from 303312 its reverse (213303), we obtain a palindrome (90009).

The spelling of 303312 in words is "three hundred three thousand, three hundred twelve", and thus it is an iban number.