312314742 has 48 divisors (see below), whose sum is σ = 717837120. Its totient is φ = 97858800.

The previous prime is 312314741. The next prime is 312314759. The reversal of 312314742 is 247413213.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312314741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41317 + ... + 48287.

It is an arithmetic number, because the mean of its divisors is an integer number (14954940).

Almost surely, 2^312314742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312314742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358918560).

312314742 is an abundant number, since it is smaller than the sum of its proper divisors (405522378).

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

312314742 is a wasteful number, since it uses less digits than its factorization.

312314742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7129 (or 7126 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 312314742 is about 17672.4288653258. The cubic root of 312314742 is about 678.4702796201.

Adding to 312314742 its reverse (247413213), we get a palindrome (559727955).

The spelling of 312314742 in words is "three hundred twelve million, three hundred fourteen thousand, seven hundred forty-two".