34516314 has 64 divisors (see below), whose sum is σ = 88473600. Its totient is φ = 9770544.

The previous prime is 34516291. The next prime is 34516327. The reversal of 34516314 is 41361543.

34516314 is a `hidden beast` number, since 345 + 1 + 6 + 314 = 666.

34516314 is digitally balanced in base 2, 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).

Its product of digits (4320) is a multiple of the sum of its prime factors (864).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 47647 + ... + 48365.

It is an arithmetic number, because the mean of its divisors is an integer number (1382400).

Almost surely, 2^34516314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34516314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44236800).

34516314 is an abundant number, since it is smaller than the sum of its proper divisors (53957286).

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

34516314 is a wasteful number, since it uses less digits than its factorization.

34516314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 858 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 34516314 is about 5875.0586380052. The cubic root of 34516314 is about 325.5928083801.

Adding to 34516314 its reverse (41361543), we get a palindrome (75877857).

The spelling of 34516314 in words is "thirty-four million, five hundred sixteen thousand, three hundred fourteen".