303213312 has 108 divisors (see below), whose sum is σ = 883572144. Its totient is φ = 99993600.

The previous prime is 303213307. The next prime is 303213329. The reversal of 303213312 is 213312303.

303213312 is a `hidden beast` number, since 30 + 321 + 3 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 232053 + ... + 233355.

Almost surely, 2^303213312 is an apocalyptic number.

303213312 is a gapful number since it is divisible by the number (32) 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 303213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441786072).

303213312 is an abundant number, since it is smaller than the sum of its proper divisors (580358832).

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

303213312 is a wasteful number, since it uses less digits than its factorization.

303213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 303213312 is about 17413.0213346220. The cubic root of 303213312 is about 671.8145746905.

Adding to 303213312 its reverse (213312303), we get a palindrome (516525615).

It can be divided in two parts, 30321 and 3312, that added together give a palindrome (33633).

The spelling of 303213312 in words is "three hundred three million, two hundred thirteen thousand, three hundred twelve".