304000224 has 96 divisors (see below), whose sum is σ = 873815040. Its totient is φ = 91776000.

The previous prime is 304000217. The next prime is 304000253. The reversal of 304000224 is 422000403.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×304000224² = 184832272384100352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 505524 + ... + 506124.

It is an arithmetic number, because the mean of its divisors is an integer number (9102240).

Almost surely, 2^304000224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436907520).

304000224 is an abundant number, since it is smaller than the sum of its proper divisors (569814816).

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

304000224 is a wasteful number, since it uses less digits than its factorization.

304000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 304000224 is about 17435.6021978021. The cubic root of 304000224 is about 672.3952465094.

Adding to 304000224 its reverse (422000403), we get a palindrome (726000627).

The spelling of 304000224 in words is "three hundred four million, two hundred twenty-four", and thus it is an aban number.