11344000 has 64 divisors (see below), whose sum is σ = 28243800. Its totient is φ = 4531200.

The previous prime is 11343953. The next prime is 11344001. The reversal of 11344000 is 44311.

It can be written as a sum of positive squares in 4 ways, for example, as 1459264 + 9884736 = 1208^2 + 3144^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (11344001) 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, 15646 + ... + 16354.

Almost surely, 2^11344000 is an apocalyptic number.

11344000 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 11344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14121900).

11344000 is an abundant number, since it is smaller than the sum of its proper divisors (16899800).

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

11344000 is an frugal number, since it uses more digits than its factorization.

11344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 11344000 is about 3368.0855096033. The cubic root of 11344000 is about 224.6925842869.

Adding to 11344000 its reverse (44311), we get a palindrome (11388311).

The spelling of 11344000 in words is "eleven million, three hundred forty-four thousand".