312410034 has 84 divisors (see below), whose sum is σ = 725268894. Its totient is φ = 100870272.

The previous prime is 312410029. The next prime is 312410039. The reversal of 312410034 is 430014213.

It is an interprime number because it is at equal distance from previous prime (312410029) and next prime (312410039).

It can be written as a sum of positive squares in only one way, i.e., 272151009 + 40259025 = 16497^2 + 6345^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 312409989 and 312410016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312410039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 3220674 + ... + 3220770.

Almost surely, 2^312410034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312410034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362634447).

312410034 is an abundant number, since it is smaller than the sum of its proper divisors (412858860).

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

312410034 is an frugal number, since it uses more digits than its factorization.

312410034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 149 counting only the distinct ones).

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

The square root of 312410034 is about 17675.1247237466. The cubic root of 312410034 is about 678.5392764864.

Adding to 312410034 its reverse (430014213), we get a palindrome (742424247).

The spelling of 312410034 in words is "three hundred twelve million, four hundred ten thousand, thirty-four".