3001248 has 72 divisors (see below), whose sum is σ = 9051588. Its totient is φ = 940032.

The previous prime is 3001237. The next prime is 3001253. The reversal of 3001248 is 8421003.

It is a happy number.

3001248 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 2 ways, for example, as 2862864 + 138384 = 1692^2 + 372^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 3001248.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4590 + ... + 5202.

Almost surely, 2^3001248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4525794).

3001248 is an abundant number, since it is smaller than the sum of its proper divisors (6050340).

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

3001248 is a wasteful number, since it uses less digits than its factorization.

3001248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3001248 is about 1732.4110366769. The cubic root of 3001248 is about 144.2449534522.

It can be divided in two parts, 3001 and 248, that added together give a square (3249 = 57²).

The spelling of 3001248 in words is "three million, one thousand, two hundred forty-eight".