34514120 has 32 divisors (see below), whose sum is σ = 77830200. Its totient is φ = 13774848.

The previous prime is 34514119. The next prime is 34514141. The reversal of 34514120 is 2141543.

It can be written as a sum of positive squares in 4 ways, for example, as 18369796 + 16144324 = 4286^2 + 4018^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34514092 and 34514101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27752 + ... + 28968.

Almost surely, 2^34514120 is an apocalyptic number.

It is an amenable number.

34514120 is an abundant number, since it is smaller than the sum of its proper divisors (43316080).

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

34514120 is a wasteful number, since it uses less digits than its factorization.

34514120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 34514120 is about 5874.8719134973. The cubic root of 34514120 is about 325.5859095577.

Adding to 34514120 its reverse (2141543), we get a palindrome (36655663).

The spelling of 34514120 in words is "thirty-four million, five hundred fourteen thousand, one hundred twenty".