313434552 has 128 divisors (see below), whose sum is σ = 852480000. Its totient is φ = 95800320.

The previous prime is 313434551. The next prime is 313434553. The reversal of 313434552 is 255434313.

It is an interprime number because it is at equal distance from previous prime (313434551) and next prime (313434553).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313434551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1574949 + ... + 1575147.

It is an arithmetic number, because the mean of its divisors is an integer number (6660000).

Almost surely, 2^313434552 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 313434552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426240000).

313434552 is an abundant number, since it is smaller than the sum of its proper divisors (539045448).

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

313434552 is a wasteful number, since it uses less digits than its factorization.

313434552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 337 counting only the distinct ones).

The product of its digits is 21600, while the sum is 30.

The square root of 313434552 is about 17704.0829189201. The cubic root of 313434552 is about 679.2802014335.

Adding to 313434552 its reverse (255434313), we get a palindrome (568868865).

The spelling of 313434552 in words is "three hundred thirteen million, four hundred thirty-four thousand, five hundred fifty-two".