314354052 has 72 divisors (see below), whose sum is σ = 823488120. Its totient is φ = 101038080.

The previous prime is 314354039. The next prime is 314354057. The reversal of 314354052 is 250453413.

314354052 is a `hidden beast` number, since 31 + 43 + 540 + 52 = 666.

314354052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 42302016 + 272052036 = 6504^2 + 16494^2 .

It is not an unprimeable number, because it can be changed into a prime (314354057) 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 23 ways as a sum of consecutive naturals, for example, 130168 + ... + 132560.

It is an arithmetic number, because the mean of its divisors is an integer number (11437335).

Almost surely, 2^314354052 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 314354052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411744060).

314354052 is an abundant number, since it is smaller than the sum of its proper divisors (509134068).

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

314354052 is a wasteful number, since it uses less digits than its factorization.

314354052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 314354052 is about 17730.0324872799. The cubic root of 314354052 is about 679.9438044680.

The spelling of 314354052 in words is "three hundred fourteen million, three hundred fifty-four thousand, fifty-two".