13304040 has 64 divisors (see below), whose sum is σ = 41299200. Its totient is φ = 3424512.

The previous prime is 13304029. The next prime is 13304041. The reversal of 13304040 is 4040331.

13304040 = 228² + 229² + ... + 372².

It is a super-3 number, since 3×13304040³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13304041) 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, 1569 + ... + 5391.

It is an arithmetic number, because the mean of its divisors is an integer number (645300).

Almost surely, 2^13304040 is an apocalyptic number.

13304040 is a gapful number since it is divisible by the number (10) 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 13304040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20649600).

13304040 is an abundant number, since it is smaller than the sum of its proper divisors (27995160).

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

13304040 is a wasteful number, since it uses less digits than its factorization.

13304040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3866 (or 3862 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 13304040 is about 3647.4703562880. The cubic root of 13304040 is about 236.9524375349.

Adding to 13304040 its reverse (4040331), we get a palindrome (17344371).

The spelling of 13304040 in words is "thirteen million, three hundred four thousand, forty".