322274304 has 297 divisors, whose sum is σ = 1086553741. Its totient is φ = 91914240.

The previous prime is 322274299. The next prime is 322274327. The reversal of 322274304 is 403472223.

The square root of 322274304 is 17952.

It is a perfect power (a square), and thus also a powerful number.

322274304 is a `hidden beast` number, since 3 + 2 + 227 + 430 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 250905600 + 71368704 = 15840^2 + 8448^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18957304 + ... + 18957320.

Almost surely, 2^322274304 is an apocalyptic number.

322274304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

322274304 is the 17952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 322274304

322274304 is an abundant number, since it is smaller than the sum of its proper divisors (764279437).

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

322274304 is a wasteful number, since it uses less digits than its factorization.

322274304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The cubic root of 322274304 is about 685.6069736831.

The spelling of 322274304 in words is "three hundred twenty-two million, two hundred seventy-four thousand, three hundred four".