312244301034 has 80 divisors (see below), whose sum is σ = 715287817728. Its totient is φ = 101779115328.

The previous prime is 312244301029. The next prime is 312244301041. The reversal of 312244301034 is 430103442213.

312244301034 is a `hidden beast` number, since 3 + 1 + 224 + 430 + 1 + 0 + 3 + 4 = 666.

It is a super-2 number, since 2×312244301034² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 312244300989 and 312244301007.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1382007 + ... + 1591989.

Almost surely, 2^312244301034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312244301034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357643908864).

312244301034 is an abundant number, since it is smaller than the sum of its proper divisors (403043516694).

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

312244301034 is a wasteful number, since it uses less digits than its factorization.

312244301034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210201 (or 210192 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 312244301034 its reverse (430103442213), we get a palindrome (742347743247).

It can be divided in two parts, 312244 and 301034, that added together give a triangular number (613278 = T₁₁₀₇).

The spelling of 312244301034 in words is "three hundred twelve billion, two hundred forty-four million, three hundred one thousand, thirty-four".