306527340 has 144 divisors (see below), whose sum is σ = 1057305312. Its totient is φ = 65931264.

The previous prime is 306527329. The next prime is 306527341. The reversal of 306527340 is 43725603.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 306527298 and 306527307.

It is not an unprimeable number, because it can be changed into a prime (306527341) 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 47 ways as a sum of consecutive naturals, for example, 46914 + ... + 53046.

It is an arithmetic number, because the mean of its divisors is an integer number (7342398).

Almost surely, 2^306527340 is an apocalyptic number.

306527340 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 306527340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528652656).

306527340 is an abundant number, since it is smaller than the sum of its proper divisors (750777972).

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

306527340 is a wasteful number, since it uses less digits than its factorization.

306527340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6176 (or 6167 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 306527340 is about 17507.9222068183. The cubic root of 306527340 is about 674.2532867420.

The spelling of 306527340 in words is "three hundred six million, five hundred twenty-seven thousand, three hundred forty".