3042 has 18 divisors (see below), whose sum is σ = 7137. Its totient is φ = 936.

The previous prime is 3041. The next prime is 3049. The reversal of 3042 is 2403.

It can be written as a sum of positive squares in 2 ways, for example, as 2601 + 441 = 51^2 + 21^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=39.

It is a hoax number, since the sum of its digits (9) coincides with the sum of the digits of its distinct prime factors.

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

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 3042.

It is not an unprimeable number, because it can be changed into a prime (3041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 228 + ... + 240.

2^{3042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3042

3042 is an abundant number, since it is smaller than the sum of its proper divisors (4095).

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

3042 is a wasteful number, since it uses less digits than its factorization.

3042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 18 counting only the distinct ones).

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

The square root of 3042 is about 55.1543289326. The cubic root of 3042 is about 14.4894890135.

Adding to 3042 its reverse (2403), we get a palindrome (5445).

The spelling of 3042 in words is "three thousand, forty-two", and thus it is an iban number.

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