306216240 has 160 divisors (see below), whose sum is σ = 1096644096. Its totient is φ = 69857280.

The previous prime is 306216193. The next prime is 306216259. The reversal of 306216240 is 42612603.

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 306216240.

It is an unprimeable number.

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, 41469 + ... + 48291.

Almost surely, 2^306216240 is an apocalyptic number.

306216240 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 306216240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548322048).

306216240 is an abundant number, since it is smaller than the sum of its proper divisors (790427856).

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

306216240 is a wasteful number, since it uses less digits than its factorization.

306216240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6867 (or 6861 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 306216240 is about 17499.0354019872. The cubic root of 306216240 is about 674.0251056814.

Adding to 306216240 its reverse (42612603), we get a palindrome (348828843).

The spelling of 306216240 in words is "three hundred six million, two hundred sixteen thousand, two hundred forty".