Base | Representation |
---|---|
bin | 11110100111101000000 |
3 | 1212222022022 |
4 | 3310331000 |
5 | 224101303 |
6 | 33301012 |
7 | 11346104 |
oct | 3647500 |
9 | 1788268 |
10 | 1003328 |
11 | 6258a7 |
12 | 404768 |
13 | 2918b1 |
14 | 1c1904 |
15 | 14c438 |
hex | f4f40 |
1003328 has 28 divisors (see below), whose sum is σ = 2031492. Its totient is φ = 491520.
The previous prime is 1003307. The next prime is 1003337. The reversal of 1003328 is 8233001.
1003328 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 2 ways, for example, as 529984 + 473344 = 728^2 + 688^2 .
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3776 + ... + 4032.
21003328 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 1003328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015746).
1003328 is an abundant number, since it is smaller than the sum of its proper divisors (1028164).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1003328 is an equidigital number, since it uses as much as digits as its factorization.
1003328 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 330 (or 320 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 17.
The square root of 1003328 is about 1001.6626178509. The cubic root of 1003328 is about 100.1108104983.
Adding to 1003328 its reverse (8233001), we get a palindrome (9236329).
It can be divided in two parts, 1003 and 328, that added together give a palindrome (1331).
The spelling of 1003328 in words is "one million, three thousand, three hundred twenty-eight".
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