1304344224 has 144 divisors (see below), whose sum is σ = 3921372000. Its totient is φ = 410116608.

The previous prime is 1304344219. The next prime is 1304344259. The reversal of 1304344224 is 4224434031.

It is a happy number.

1304344224 is a `hidden beast` number, since 1 + 3 + 0 + 434 + 4 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1909387 + ... + 1910069.

It is an arithmetic number, because the mean of its divisors is an integer number (27231750).

Almost surely, 2^1304344224 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 1304344224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960686000).

1304344224 is an abundant number, since it is smaller than the sum of its proper divisors (2617027776).

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

1304344224 is a wasteful number, since it uses less digits than its factorization.

1304344224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 1304344224 is about 36115.7060570605. The cubic root of 1304344224 is about 1092.6072378400.

Adding to 1304344224 its reverse (4224434031), we get a palindrome (5528778255).

The spelling of 1304344224 in words is "one billion, three hundred four million, three hundred forty-four thousand, two hundred twenty-four".