313442514 has 192 divisors, whose sum is σ = 901238400. Its totient is φ = 80498880.

The previous prime is 313442513. The next prime is 313442531. The reversal of 313442514 is 415244313.

It is a happy number.

313442514 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (313442513) 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, 3521782 + ... + 3521870.

It is an arithmetic number, because the mean of its divisors is an integer number (4693950).

Almost surely, 2^313442514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313442514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450619200).

313442514 is an abundant number, since it is smaller than the sum of its proper divisors (587795886).

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

313442514 is a wasteful number, since it uses less digits than its factorization.

313442514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 112 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 313442514 is about 17704.3077808764. The cubic root of 313442514 is about 679.2859531746.

Adding to 313442514 its reverse (415244313), we get a palindrome (728686827).

The spelling of 313442514 in words is "three hundred thirteen million, four hundred forty-two thousand, five hundred fourteen".