Base | Representation |
---|---|
bin | 111101001000110000000 |
3 | 10202210001100 |
4 | 13221012000 |
5 | 1003101303 |
6 | 110534400 |
7 | 23012415 |
oct | 7510600 |
9 | 3683040 |
10 | 2003328 |
11 | 1149148 |
12 | 807400 |
13 | 551b02 |
14 | 3a210c |
15 | 2988a3 |
hex | 1e9180 |
2003328 has 96 divisors (see below), whose sum is σ = 6046560. Its totient is φ = 635904.
The previous prime is 2003321. The next prime is 2003329. The reversal of 2003328 is 8233002.
It is a tau number, because it is divible by the number of its divisors (96).
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 2003328.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2003321) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42601 + ... + 42647.
It is an arithmetic number, because the mean of its divisors is an integer number (62985).
22003328 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 2003328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023280).
2003328 is an abundant number, since it is smaller than the sum of its proper divisors (4043232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2003328 is a wasteful number, since it uses less digits than its factorization.
2003328 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 104 (or 89 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 2003328 is about 1415.3896989875. The cubic root of 2003328 is about 126.0619498841.
The spelling of 2003328 in words is "two million, three thousand, three hundred twenty-eight".
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