34042140 has 144 divisors (see below), whose sum is σ = 116635680. Its totient is φ = 8236800.

The previous prime is 34042081. The next prime is 34042181. The reversal of 34042140 is 4124043.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 65080 + ... + 65600.

It is an arithmetic number, because the mean of its divisors is an integer number (809970).

Almost surely, 2^34042140 is an apocalyptic number.

34042140 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 34042140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58317840).

34042140 is an abundant number, since it is smaller than the sum of its proper divisors (82593540).

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

34042140 is a wasteful number, since it uses less digits than its factorization.

34042140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 34042140 is about 5834.5642510817. The cubic root of 34042140 is about 324.0949653040.

Adding to 34042140 its reverse (4124043), we get a palindrome (38166183).

The spelling of 34042140 in words is "thirty-four million, forty-two thousand, one hundred forty".