11304180 has 36 divisors (see below), whose sum is σ = 34289892. Its totient is φ = 3014400.

The previous prime is 11304179. The next prime is 11304193. The reversal of 11304180 is 8140311.

It can be written as a sum of positive squares in 2 ways, for example, as 2232036 + 9072144 = 1494^2 + 3012^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×11304180³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31221 + ... + 31580.

It is an arithmetic number, because the mean of its divisors is an integer number (952497).

Almost surely, 2^11304180 is an apocalyptic number.

11304180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11304180 is an abundant number, since it is smaller than the sum of its proper divisors (22985712).

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

11304180 is a wasteful number, since it uses less digits than its factorization.

11304180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62816 (or 62811 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11304180 is about 3362.1689428106. The cubic root of 11304180 is about 224.4293688386.

Adding to 11304180 its reverse (8140311), we get a palindrome (19444491).

The spelling of 11304180 in words is "eleven million, three hundred four thousand, one hundred eighty".