11329344 has 168 divisors, whose sum is σ = 37444680. Its totient is φ = 3244032.

The previous prime is 11329319. The next prime is 11329349. The reversal of 11329344 is 44392311.

11329344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 360000 + 10969344 = 600^2 + 3312^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11329349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127252 + ... + 127340.

It is an arithmetic number, because the mean of its divisors is an integer number (222885).

Almost surely, 2^11329344 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 11329344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18722340).

11329344 is an abundant number, since it is smaller than the sum of its proper divisors (26115336).

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

11329344 is a wasteful number, since it uses less digits than its factorization.

11329344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 11329344 is about 3365.9090896814. The cubic root of 11329344 is about 224.5957779365.

The spelling of 11329344 in words is "eleven million, three hundred twenty-nine thousand, three hundred forty-four".