13430944 has 48 divisors (see below), whose sum is σ = 28100520. Its totient is φ = 6307840.

The previous prime is 13430939. The next prime is 13430947. The reversal of 13430944 is 44903431.

It can be written as a sum of positive squares in 4 ways, for example, as 7728400 + 5702544 = 2780^2 + 2388^2 .

It is a super-2 number, since 2×13430944² = 360780513462272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13430947) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37872 + ... + 38224.

Almost surely, 2^13430944 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 13430944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14050260).

13430944 is an abundant number, since it is smaller than the sum of its proper divisors (14669576).

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

13430944 is a wasteful number, since it uses less digits than its factorization.

13430944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 13430944 is about 3664.8252345780. The cubic root of 13430944 is about 237.7034651624.

The spelling of 13430944 in words is "thirteen million, four hundred thirty thousand, nine hundred forty-four".