3042000 has 180 divisors, whose sum is σ = 11504844. Its totient is φ = 748800.

The previous prime is 3041989. The next prime is 3042007. The reversal of 3042000 is 2403.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3042000 is nontrivially palindromic in base 7.

3042000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2143296 + 898704 = 1464^2 + 948^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3042007) 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 35 ways as a sum of consecutive naturals, for example, 233994 + ... + 234006.

Almost surely, 2^3042000 is an apocalyptic number.

3042000 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 3042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5752422).

3042000 is an abundant number, since it is smaller than the sum of its proper divisors (8462844).

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

3042000 is a wasteful number, since it uses less digits than its factorization.

3042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 3042000 is about 1744.1330224498. The cubic root of 3042000 is about 144.8948901347.

Adding to 3042000 its reverse (2403), we get a palindrome (3044403).

It can be divided in two parts, 304 and 2000, that added together give a square (2304 = 48²).

The spelling of 3042000 in words is "three million, forty-two thousand".