42034000 has 40 divisors (see below), whose sum is σ = 101643048. Its totient is φ = 16812800.

The previous prime is 42033989. The next prime is 42034001. The reversal of 42034000 is 43024.

It can be written as a sum of positive squares in 4 ways, for example, as 13046544 + 28987456 = 3612^2 + 5384^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42034001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8509 + ... + 12508.

Almost surely, 2^42034000 is an apocalyptic number.

42034000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42034000 is an abundant number, since it is smaller than the sum of its proper divisors (59609048).

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

42034000 is a wasteful number, since it uses less digits than its factorization.

42034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21040 (or 21024 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 42034000 is about 6483.3633246950. The cubic root of 42034000 is about 347.6964367340.

Adding to 42034000 its reverse (43024), we get a palindrome (42077024).

The spelling of 42034000 in words is "forty-two million, thirty-four thousand", and thus it is an eban number.