304272319104 has 960 divisors, whose sum is σ = 1072127077560. Its totient is φ = 84849721344.

The previous prime is 304272319103. The next prime is 304272319111. The reversal of 304272319104 is 401913272403.

It is a happy number.

304272319104 is a `hidden beast` number, since 304 + 27 + 2 + 319 + 10 + 4 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 148878679104 + 155393640000 = 385848^2 + 394200^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (304272319103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3136827984 + ... + 3136828080.

Almost surely, 2^304272319104 is an apocalyptic number.

304272319104 is a gapful number since it is divisible by the number (34) 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 304272319104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536063538780).

304272319104 is an abundant number, since it is smaller than the sum of its proper divisors (767854758456).

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

304272319104 is a wasteful number, since it uses less digits than its factorization.

304272319104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 304272319104 in words is "three hundred four billion, two hundred seventy-two million, three hundred nineteen thousand, one hundred four".