Base | Representation |
---|---|
bin | 1011011100111111011000 |
3 | 12122112102100 |
4 | 23130333120 |
5 | 1232033303 |
6 | 144203400 |
7 | 34343100 |
oct | 13347730 |
9 | 5575370 |
10 | 3002328 |
11 | 177076a |
12 | 1009560 |
13 | 811734 |
14 | 582200 |
15 | 3e48a3 |
hex | 2dcfd8 |
3002328 has 144 divisors (see below), whose sum is σ = 10136880. Its totient is φ = 798336.
The previous prime is 3002327. The next prime is 3002369. The reversal of 3002328 is 8232003.
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 3002328.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3002327) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81126 + ... + 81162.
It is an arithmetic number, because the mean of its divisors is an integer number (70395).
Almost surely, 23002328 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 3002328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5068440).
3002328 is an abundant number, since it is smaller than the sum of its proper divisors (7134552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3002328 is a wasteful number, since it uses less digits than its factorization.
3002328 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 86 (or 72 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 3002328 is about 1732.7227129578. The cubic root of 3002328 is about 144.2622535739.
It can be divided in two parts, 300 and 2328, that added together give a triangular number (2628 = T72).
The spelling of 3002328 in words is "three million, two thousand, three hundred twenty-eight".
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