312142410 has 120 divisors (see below), whose sum is σ = 869427108. Its totient is φ = 80352000.

The previous prime is 312142367. The next prime is 312142417. The reversal of 312142410 is 14241213.

It can be written as a sum of positive squares in 2 ways, for example, as 289646361 + 22496049 = 17019^2 + 4743^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312142417) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 778210 + ... + 778610.

Almost surely, 2^312142410 is an apocalyptic number.

312142410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312142410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434713554).

312142410 is an abundant number, since it is smaller than the sum of its proper divisors (557284698).

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

312142410 is a wasteful number, since it uses less digits than its factorization.

312142410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 312142410 is about 17667.5524620701. The cubic root of 312142410 is about 678.3454657314.

Adding to 312142410 its reverse (14241213), we get a palindrome (326383623).

The spelling of 312142410 in words is "three hundred twelve million, one hundred forty-two thousand, four hundred ten".