313434576 has 480 divisors, whose sum is σ = 1211172480. Its totient is φ = 76640256.

The previous prime is 313434571. The next prime is 313434607. The reversal of 313434576 is 675434313.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 313434576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313434571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4678095 + ... + 4678161.

It is an arithmetic number, because the mean of its divisors is an integer number (2523276).

Almost surely, 2^313434576 is an apocalyptic number.

313434576 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313434576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605586240).

313434576 is an abundant number, since it is smaller than the sum of its proper divisors (897737904).

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

313434576 is a wasteful number, since it uses less digits than its factorization.

313434576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 313434576 is about 17704.0835967299. The cubic root of 313434576 is about 679.2802187712.

Adding to 313434576 its reverse (675434313), we get a palindrome (988868889).

The spelling of 313434576 in words is "three hundred thirteen million, four hundred thirty-four thousand, five hundred seventy-six".