242310312 has 128 divisors (see below), whose sum is σ = 705024000. Its totient is φ = 77011200.

The previous prime is 242310253. The next prime is 242310371. The reversal of 242310312 is 213013242.

242310312 is a `hidden beast` number, since 2 + 42 + 310 + 312 = 666.

242310312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242310253) and next prime (242310371).

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 31 ways as a sum of consecutive naturals, for example, 632473 + ... + 632855.

It is an arithmetic number, because the mean of its divisors is an integer number (5508000).

Almost surely, 2^242310312 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 242310312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352512000).

242310312 is an abundant number, since it is smaller than the sum of its proper divisors (462713688).

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

242310312 is a wasteful number, since it uses less digits than its factorization.

242310312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 242310312 is about 15566.3197962781. The cubic root of 242310312 is about 623.4342134826.

Adding to 242310312 its reverse (213013242), we get a palindrome (455323554).

The spelling of 242310312 in words is "two hundred forty-two million, three hundred ten thousand, three hundred twelve".