13350304 has 96 divisors (see below), whose sum is σ = 32006016. Its totient is φ = 5406720.

The previous prime is 13350269. The next prime is 13350307. The reversal of 13350304 is 40305331.

13350304 = 84³ + 85³ + ... + 100³.

13350304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13350307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137584 + ... + 137680.

It is an arithmetic number, because the mean of its divisors is an integer number (333396).

Almost surely, 2^13350304 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 13350304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16003008).

13350304 is an abundant number, since it is smaller than the sum of its proper divisors (18655712).

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

13350304 is a wasteful number, since it uses less digits than its factorization.

13350304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 13350304 is about 3653.8067819741. The cubic root of 13350304 is about 237.2267823973.

Adding to 13350304 its reverse (40305331), we get a palindrome (53655635).

The spelling of 13350304 in words is "thirteen million, three hundred fifty thousand, three hundred four".