3001140 has 36 divisors (see below), whose sum is σ = 9104004. Its totient is φ = 800256.

The previous prime is 3001133. The next prime is 3001147. The reversal of 3001140 is 411003.

It is an interprime number because it is at equal distance from previous prime (3001133) and next prime (3001147).

It can be written as a sum of positive squares in 2 ways, for example, as 2056356 + 944784 = 1434^2 + 972^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (3001147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8157 + ... + 8516.

It is an arithmetic number, because the mean of its divisors is an integer number (252889).

Almost surely, 2^3001140 is an apocalyptic number.

3001140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3001140 is an abundant number, since it is smaller than the sum of its proper divisors (6102864).

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

3001140 is a wasteful number, since it uses less digits than its factorization.

3001140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16688 (or 16683 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 3001140 is about 1732.3798659647. The cubic root of 3001140 is about 144.2432232118.

Adding to 3001140 its reverse (411003), we get a palindrome (3412143).

The spelling of 3001140 in words is "three million, one thousand, one hundred forty".