312305742 has 96 divisors (see below), whose sum is σ = 823889664. Its totient is φ = 83462400.

The previous prime is 312305731. The next prime is 312305761. The reversal of 312305742 is 247503213.

312305742 is a `hidden beast` number, since 312 + 305 + 7 + 42 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 451617 + ... + 452307.

It is an arithmetic number, because the mean of its divisors is an integer number (8582184).

Almost surely, 2^312305742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312305742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411944832).

312305742 is an abundant number, since it is smaller than the sum of its proper divisors (511583922).

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

312305742 is a wasteful number, since it uses less digits than its factorization.

312305742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 312305742 is about 17672.1742295621. The cubic root of 312305742 is about 678.4637623792.

Adding to 312305742 its reverse (247503213), we get a palindrome (559808955).

The spelling of 312305742 in words is "three hundred twelve million, three hundred five thousand, seven hundred forty-two".