312010240 has 80 divisors (see below), whose sum is σ = 752420592. Its totient is φ = 124084224.

The previous prime is 312010207. The next prime is 312010241. The reversal of 312010240 is 42010213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 312010240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312010241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 785722 + ... + 786118.

Almost surely, 2^312010240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376210296).

312010240 is an abundant number, since it is smaller than the sum of its proper divisors (440410352).

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

312010240 is an equidigital number, since it uses as much as digits as its factorization.

312010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 312010240 is about 17663.8115931981. The cubic root of 312010240 is about 678.2497086082.

Adding to 312010240 its reverse (42010213), we get a palindrome (354020453).

The spelling of 312010240 in words is "three hundred twelve million, ten thousand, two hundred forty".