11000352 has 72 divisors (see below), whose sum is σ = 31773168. Its totient is φ = 3329920.

The previous prime is 11000351. The next prime is 11000369. The reversal of 11000352 is 25300011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11000351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11143 + ... + 12089.

It is an arithmetic number, because the mean of its divisors is an integer number (441294).

Almost surely, 2^11000352 is an apocalyptic number.

11000352 is a gapful number since it is divisible by the number (12) 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 11000352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15886584).

11000352 is an abundant number, since it is smaller than the sum of its proper divisors (20772816).

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

11000352 is a wasteful number, since it uses less digits than its factorization.

11000352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 11000352 is about 3316.6778559275. The cubic root of 11000352 is about 222.4003812771.

Adding to 11000352 its reverse (25300011), we get a palindrome (36300363).

The spelling of 11000352 in words is "eleven million, three hundred fifty-two", and thus it is an aban number.