306372040 has 64 divisors (see below), whose sum is σ = 744629760. Its totient is φ = 112776960.

The previous prime is 306372023. The next prime is 306372043. The reversal of 306372040 is 40273603.

It is a junction number, because it is equal to n+sod(n) for n = 306371996 and 306372014.

It is not an unprimeable number, because it can be changed into a prime (306372043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 223437 + ... + 224803.

It is an arithmetic number, because the mean of its divisors is an integer number (11634840).

Almost surely, 2^306372040 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 306372040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372314880).

306372040 is an abundant number, since it is smaller than the sum of its proper divisors (438257720).

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

306372040 is a wasteful number, since it uses less digits than its factorization.

306372040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 306372040 is about 17503.4865098357. The cubic root of 306372040 is about 674.1393988865.

The spelling of 306372040 in words is "three hundred six million, three hundred seventy-two thousand, forty".