13034400 has 72 divisors (see below), whose sum is σ = 42434784. Its totient is φ = 3475200.

The previous prime is 13034387. The next prime is 13034423. The reversal of 13034400 is 443031.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13034400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316 + ... + 5115.

It is an arithmetic number, because the mean of its divisors is an integer number (589372).

Almost surely, 2^13034400 is an apocalyptic number.

13034400 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 13034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21217392).

13034400 is an abundant number, since it is smaller than the sum of its proper divisors (29400384).

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

13034400 is a wasteful number, since it uses less digits than its factorization.

13034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5454 (or 5441 counting only the distinct ones).

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

The square root of 13034400 is about 3610.3185455026. The cubic root of 13034400 is about 235.3406858809.

Adding to 13034400 its reverse (443031), we get a palindrome (13477431).

The spelling of 13034400 in words is "thirteen million, thirty-four thousand, four hundred".