3083040 has 72 divisors (see below), whose sum is σ = 10525788. Its totient is φ = 821760.

The previous prime is 3083039. The next prime is 3083071. The reversal of 3083040 is 403803.

It can be written as a sum of positive squares in 2 ways, for example, as 2944656 + 138384 = 1716^2 + 372^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (18) 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 370 + ... + 2510.

Almost surely, 2^3083040 is an apocalyptic number.

3083040 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 3083040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5262894).

3083040 is an abundant number, since it is smaller than the sum of its proper divisors (7442748).

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

3083040 is a wasteful number, since it uses less digits than its factorization.

3083040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3083040 is about 1755.8587642518. The cubic root of 3083040 is about 145.5435799595.

Adding to 3083040 its reverse (403803), we get a palindrome (3486843).

The spelling of 3083040 in words is "three million, eighty-three thousand, forty".