306512040 has 128 divisors (see below), whose sum is σ = 978687360. Its totient is φ = 76529664.

The previous prime is 306511999. The next prime is 306512071. The reversal of 306512040 is 40215603.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 306511998 and 306512016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 707664 + ... + 708096.

It is an arithmetic number, because the mean of its divisors is an integer number (7645995).

Almost surely, 2^306512040 is an apocalyptic number.

306512040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306512040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489343680).

306512040 is an abundant number, since it is smaller than the sum of its proper divisors (672175320).

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

306512040 is a wasteful number, since it uses less digits than its factorization.

306512040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 306512040 is about 17507.4852563125. The cubic root of 306512040 is about 674.2420683333.

Adding to 306512040 its reverse (40215603), we get a palindrome (346727643).

The spelling of 306512040 in words is "three hundred six million, five hundred twelve thousand, forty".