312330240 has 144 divisors (see below), whose sum is σ = 1082799900. Its totient is φ = 83263488.

The previous prime is 312330233. The next prime is 312330241. The reversal of 312330240 is 42033213.

312330240 is a `hidden beast` number, since 312 + 330 + 24 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 295289856 + 17040384 = 17184^2 + 4128^2 .

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 not an unprimeable number, because it can be changed into a prime (312330241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90466 + ... + 93854.

Almost surely, 2^312330240 is an apocalyptic number.

312330240 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 312330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541399950).

312330240 is an abundant number, since it is smaller than the sum of its proper divisors (770469660).

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

312330240 is a wasteful number, since it uses less digits than its factorization.

312330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 312330240 is about 17672.8673395123. The cubic root of 312330240 is about 678.4815020154.

Adding to 312330240 its reverse (42033213), we get a palindrome (354363453).

The spelling of 312330240 in words is "three hundred twelve million, three hundred thirty thousand, two hundred forty".