34084314 has 80 divisors (see below), whose sum is σ = 86144256. Its totient is φ = 9979200.

The previous prime is 34084273. The next prime is 34084327. The reversal of 34084314 is 41348043.

34084314 is a `hidden beast` number, since 340 + 8 + 4 + 314 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54934 + ... + 55550.

Almost surely, 2^34084314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34084314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43072128).

34084314 is an abundant number, since it is smaller than the sum of its proper divisors (52059942).

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

34084314 is a wasteful number, since it uses less digits than its factorization.

34084314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 34084314 is about 5838.1772840502. The cubic root of 34084314 is about 324.2287479282.

The spelling of 34084314 in words is "thirty-four million, eighty-four thousand, three hundred fourteen".