1045334304 has 144 divisors (see below), whose sum is σ = 3444360192. Its totient is φ = 294534144.

The previous prime is 1045334293. The next prime is 1045334321. The reversal of 1045334304 is 4034335401.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143617 + ... + 150719.

It is an arithmetic number, because the mean of its divisors is an integer number (23919168).

Almost surely, 2^1045334304 is an apocalyptic number.

1045334304 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 1045334304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722180096).

1045334304 is an abundant number, since it is smaller than the sum of its proper divisors (2399025888).

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

1045334304 is a wasteful number, since it uses less digits than its factorization.

1045334304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7199 (or 7188 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 1045334304 is about 32331.6300857226. The cubic root of 1045334304 is about 1014.8886622680. Note that the first 3 decimals are identical.

Adding to 1045334304 its reverse (4034335401), we get a palindrome (5079669705).

The spelling of 1045334304 in words is "one billion, forty-five million, three hundred thirty-four thousand, three hundred four".