Base | Representation |
---|---|
bin | 1011011100101010101000 |
3 | 12122110121011 |
4 | 23130222220 |
5 | 1232013000 |
6 | 144153304 |
7 | 34336162 |
oct | 13345250 |
9 | 5573534 |
10 | 3001000 |
11 | 176a772 |
12 | 1008834 |
13 | 810c52 |
14 | 581932 |
15 | 3e42ba |
hex | 2dcaa8 |
3001000 has 32 divisors (see below), whose sum is σ = 7024680. Its totient is φ = 1200000.
The previous prime is 3000983. The next prime is 3001001. The reversal of 3001000 is 1003.
It is a happy number.
3001000 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 4 ways, for example, as 933156 + 2067844 = 966^2 + 1438^2 .
It is a Harshad number since it is a multiple of its sum of digits (4).
It is not an unprimeable number, because it can be changed into a prime (3001001) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 501 + ... + 2500.
Almost surely, 23001000 is an apocalyptic number.
It is an amenable number.
3001000 is an abundant number, since it is smaller than the sum of its proper divisors (4023680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3001000 is a wasteful number, since it uses less digits than its factorization.
3001000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3022 (or 3008 counting only the distinct ones).
The product of its (nonzero) digits is 3, while the sum is 4.
The square root of 3001000 is about 1732.3394586512. The cubic root of 3001000 is about 144.2409802457.
Adding to 3001000 its reverse (1003), we get a palindrome (3002003).
The spelling of 3001000 in words is "three million, one thousand".
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