306015040 has 84 divisors (see below), whose sum is σ = 743722668. Its totient is φ = 119930880.

The previous prime is 306015013. The next prime is 306015077. The reversal of 306015040 is 40510603.

It can be written as a sum of positive squares in 6 ways, for example, as 34951744 + 271063296 = 5912^2 + 16464^2 .

It is a junction number, because it is equal to n+sod(n) for n = 306014999 and 306015017.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1190592 + ... + 1190848.

Almost surely, 2^306015040 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 306015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371861334).

306015040 is an abundant number, since it is smaller than the sum of its proper divisors (437707628).

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

306015040 is an equidigital number, since it uses as much as digits as its factorization.

306015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 306015040 is about 17493.2855690405. The cubic root of 306015040 is about 673.8774501511.

Adding to 306015040 its reverse (40510603), we get a palindrome (346525643).

The spelling of 306015040 in words is "three hundred six million, fifteen thousand, forty".