312042240 has 144 divisors (see below), whose sum is σ = 1107439200. Its totient is φ = 83202048.

The previous prime is 312042229. The next prime is 312042251. The reversal of 312042240 is 42240213.

It is an interprime number because it is at equal distance from previous prime (312042229) and next prime (312042251).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30046 + ... + 39074.

It is an arithmetic number, because the mean of its divisors is an integer number (7690550).

Almost surely, 2^312042240 is an apocalyptic number.

312042240 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 312042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553719600).

312042240 is an abundant number, since it is smaller than the sum of its proper divisors (795396960).

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

312042240 is an equidigital number, since it uses as much as digits as its factorization.

312042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9059 (or 9039 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 312042240 is about 17664.7173767372. The cubic root of 312042240 is about 678.2728950788.

Adding to 312042240 its reverse (42240213), we get a palindrome (354282453).

The spelling of 312042240 in words is "three hundred twelve million, forty-two thousand, two hundred forty".