34314120 has 48 divisors (see below), whose sum is σ = 111522060. Its totient is φ = 9150336.

The previous prime is 34314113. The next prime is 34314127. The reversal of 34314120 is 2141343.

It is an interprime number because it is at equal distance from previous prime (34314113) and next prime (34314127).

It can be written as a sum of positive squares in 2 ways, for example, as 33108516 + 1205604 = 5754^2 + 1098^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34314093 and 34314102.

It is not an unprimeable number, because it can be changed into a prime (34314127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47299 + ... + 48018.

Almost surely, 2^34314120 is an apocalyptic number.

34314120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34314120 is an abundant number, since it is smaller than the sum of its proper divisors (77207940).

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

34314120 is a wasteful number, since it uses less digits than its factorization.

34314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95334 (or 95327 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34314120 is about 5857.8255351282. The cubic root of 34314120 is about 324.9557967495.

Adding to 34314120 its reverse (2141343), we get a palindrome (36455463).

The spelling of 34314120 in words is "thirty-four million, three hundred fourteen thousand, one hundred twenty".