1333230304 has 96 divisors (see below), whose sum is σ = 3343576320. Its totient is φ = 509442048.

The previous prime is 1333230289. The next prime is 1333230313. The reversal of 1333230304 is 4030323331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63139 + ... + 81565.

It is an arithmetic number, because the mean of its divisors is an integer number (34828920).

Almost surely, 2^1333230304 is an apocalyptic number.

1333230304 is a gapful number since it is divisible by the number (14) 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 1333230304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671788160).

1333230304 is an abundant number, since it is smaller than the sum of its proper divisors (2010346016).

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

1333230304 is a wasteful number, since it uses less digits than its factorization.

1333230304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18480 (or 18472 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

The square root of 1333230304 is about 36513.4263525076. The cubic root of 1333230304 is about 1100.6140659544.

Adding to 1333230304 its reverse (4030323331), we get a palindrome (5363553635).

The spelling of 1333230304 in words is "one billion, three hundred thirty-three million, two hundred thirty thousand, three hundred four".