307305240 has 128 divisors (see below), whose sum is σ = 1058745600. Its totient is φ = 70571520.

The previous prime is 307305227. The next prime is 307305241. The reversal of 307305240 is 42503703.

307305240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 307305240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307305241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18954 + ... + 31206.

It is an arithmetic number, because the mean of its divisors is an integer number (8271450).

Almost surely, 2^307305240 is an apocalyptic number.

307305240 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 307305240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529372800).

307305240 is an abundant number, since it is smaller than the sum of its proper divisors (751440360).

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

307305240 is a wasteful number, since it uses less digits than its factorization.

307305240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12297 (or 12293 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 307305240 is about 17530.1237873553. The cubic root of 307305240 is about 674.8231745327.

Adding to 307305240 its reverse (42503703), we get a palindrome (349808943).

The spelling of 307305240 in words is "three hundred seven million, three hundred five thousand, two hundred forty".