307442304 has 160 divisors (see below), whose sum is σ = 985755540. Its totient is φ = 94556160.

The previous prime is 307442299. The next prime is 307442309. The reversal of 307442304 is 403244703.

It is an interprime number because it is at equal distance from previous prime (307442299) and next prime (307442309).

It can be written as a sum of positive squares in 2 ways, for example, as 301091904 + 6350400 = 17352^2 + 2520^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (307442309) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 133644 + ... + 135924.

Almost surely, 2^307442304 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 307442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492877770).

307442304 is an abundant number, since it is smaller than the sum of its proper divisors (678313236).

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

307442304 is a wasteful number, since it uses less digits than its factorization.

307442304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320 (or 2299 counting only the distinct ones).

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

The square root of 307442304 is about 17534.0327363673. The cubic root of 307442304 is about 674.9234876238.

The spelling of 307442304 in words is "three hundred seven million, four hundred forty-two thousand, three hundred four".