11378304 has 192 divisors, whose sum is σ = 40098240. Its totient is φ = 3022848.

The previous prime is 11378299. The next prime is 11378347. The reversal of 11378304 is 40387311.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 137047 + ... + 137129.

It is an arithmetic number, because the mean of its divisors is an integer number (208845).

Almost surely, 2^11378304 is an apocalyptic number.

11378304 is a gapful number since it is divisible by the number (14) 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 11378304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049120).

11378304 is an abundant number, since it is smaller than the sum of its proper divisors (28719936).

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

11378304 is a wasteful number, since it uses less digits than its factorization.

11378304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 11378304 is about 3373.1741727933. The cubic root of 11378304 is about 224.9188448057.

The spelling of 11378304 in words is "eleven million, three hundred seventy-eight thousand, three hundred four".