11340000 has 300 divisors, whose sum is σ = 47628504. Its totient is φ = 2592000.

The previous prime is 11339987. The next prime is 11340023. The reversal of 11340000 is 4311.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 1619997 + ... + 1620003.

Almost surely, 2^11340000 is an apocalyptic number.

11340000 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 11340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23814252).

11340000 is an abundant number, since it is smaller than the sum of its proper divisors (36288504).

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

11340000 is an frugal number, since it uses more digits than its factorization.

11340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 11340000 is about 3367.4916480965. The cubic root of 11340000 is about 224.6661716166. Note that the first 3 decimals are identical.

Adding to 11340000 its reverse (4311), we get a palindrome (11344311).

The spelling of 11340000 in words is "eleven million, three hundred forty thousand".