34142024 has 48 divisors (see below), whose sum is σ = 74980080. Its totient is φ = 14532000.

The previous prime is 34141997. The next prime is 34142029. The reversal of 34142024 is 42024143.

It is a junction number, because it is equal to n+sod(n) for n = 34141987 and 34142005.

It is not an unprimeable number, because it can be changed into a prime (34142029) 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, 98219 + ... + 98565.

It is an arithmetic number, because the mean of its divisors is an integer number (1562085).

Almost surely, 2^34142024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34142024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37490040).

34142024 is an abundant number, since it is smaller than the sum of its proper divisors (40838056).

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

34142024 is a wasteful number, since it uses less digits than its factorization.

34142024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 34142024 is about 5843.1176609752. The cubic root of 34142024 is about 324.4116345059.

Adding to 34142024 its reverse (42024143), we get a palindrome (76166167).

The spelling of 34142024 in words is "thirty-four million, one hundred forty-two thousand, twenty-four".