34142460 has 144 divisors (see below), whose sum is σ = 111404160. Its totient is φ = 7746560.

The previous prime is 34142417. The next prime is 34142461. The reversal of 34142460 is 6424143.

34142460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 34142460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34142461) 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 47 ways as a sum of consecutive naturals, for example, 190651 + ... + 190829.

It is an arithmetic number, because the mean of its divisors is an integer number (773640).

Almost surely, 2^34142460 is an apocalyptic number.

34142460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34142460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55702080).

34142460 is an abundant number, since it is smaller than the sum of its proper divisors (77261700).

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

34142460 is a wasteful number, since it uses less digits than its factorization.

34142460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 34142460 is about 5843.1549697060. The cubic root of 34142460 is about 324.4130154324.

The spelling of 34142460 in words is "thirty-four million, one hundred forty-two thousand, four hundred sixty".