307268442 has 48 divisors (see below), whose sum is σ = 719665128. Its totient is φ = 94187520.

The previous prime is 307268419. The next prime is 307268447. The reversal of 307268442 is 244862703.

It can be written as a sum of positive squares in 4 ways, for example, as 294156801 + 13111641 = 17151^2 + 3621^2 .

It is a junction number, because it is equal to n+sod(n) for n = 307268397 and 307268406.

It is not an unprimeable number, because it can be changed into a prime (307268447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63418 + ... + 68090.

Almost surely, 2^307268442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307268442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359832564).

307268442 is an abundant number, since it is smaller than the sum of its proper divisors (412396686).

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

307268442 is a wasteful number, since it uses less digits than its factorization.

307268442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4975 (or 4972 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 307268442 is about 17529.0741911831. The cubic root of 307268442 is about 674.7962380852.

The spelling of 307268442 in words is "three hundred seven million, two hundred sixty-eight thousand, four hundred forty-two".