3034000 has 80 divisors (see below), whose sum is σ = 7718256. Its totient is φ = 1152000.

The previous prime is 3033983. The next prime is 3034013. The reversal of 3034000 is 4303.

It can be written as a sum of positive squares in 8 ways, for example, as 1140624 + 1893376 = 1068^2 + 1376^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73980 + ... + 74020.

Almost surely, 2^3034000 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 3034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3859128).

3034000 is an abundant number, since it is smaller than the sum of its proper divisors (4684256).

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

3034000 is a wasteful number, since it uses less digits than its factorization.

3034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 3034000 is about 1741.8381095842. The cubic root of 3034000 is about 144.7677614095.

Adding to 3034000 its reverse (4303), we get a palindrome (3038303).

The spelling of 3034000 in words is "three million, thirty-four thousand".