11340288 has 120 divisors (see below), whose sum is σ = 34471008. Its totient is φ = 3581952.

The previous prime is 11340281. The next prime is 11340293. The reversal of 11340288 is 88204311.

It is not an unprimeable number, because it can be changed into a prime (11340281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105931 + ... + 106037.

Almost surely, 2^11340288 is an apocalyptic number.

11340288 is a gapful number since it is divisible by the number (18) 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 11340288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17235504).

11340288 is an abundant number, since it is smaller than the sum of its proper divisors (23130720).

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

11340288 is a wasteful number, since it uses less digits than its factorization.

11340288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 11340288 is about 3367.5344096238. The cubic root of 11340288 is about 224.6680735363.

Adding to 11340288 its reverse (88204311), we get a palindrome (99544599).

It can be divided in two parts, 11340 and 288, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 11340288 in words is "eleven million, three hundred forty thousand, two hundred eighty-eight".