Base | Representation |
---|---|
bin | 1011011100011011100000 |
3 | 12122102021022 |
4 | 23130123200 |
5 | 1232000112 |
6 | 144145012 |
7 | 34333310 |
oct | 13343340 |
9 | 5572238 |
10 | 3000032 |
11 | 1769a72 |
12 | 1008168 |
13 | 810689 |
14 | 581440 |
15 | 3e3d72 |
hex | 2dc6e0 |
3000032 has 48 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 1258368.
The previous prime is 3000029. The next prime is 3000047. The reversal of 3000032 is 2300003.
3000032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a junction number, because it is equal to n+sod(n) for n = 2999983 and 3000019.
It is a congruent number.
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 7 ways as a sum of consecutive naturals, for example, 13103 + ... + 13329.
It is an arithmetic number, because the mean of its divisors is an integer number (143640).
Almost surely, 23000032 is an apocalyptic number.
3000032 is a gapful number since it is divisible by the number (32) 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 3000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).
3000032 is an abundant number, since it is smaller than the sum of its proper divisors (3894688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3000032 is a wasteful number, since it uses less digits than its factorization.
3000032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 303 (or 295 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 8.
The square root of 3000032 is about 1732.0600451486. The cubic root of 3000032 is about 144.2254698288.
Adding to 3000032 its reverse (2300003), we get a palindrome (5300035).
It can be divided in two parts, 300003 and 2, that multiplied together give a palindrome (600006).
The spelling of 3000032 in words is "three million, thirty-two", and thus it is an aban number and an uban number.
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