Base | Representation |
---|---|
bin | 1001000101010000100001 |
3 | 11110221220000 |
4 | 21011100201 |
5 | 1102141313 |
6 | 123010213 |
7 | 26144130 |
oct | 11052041 |
9 | 4427800 |
10 | 2380833 |
11 | 1386834 |
12 | 969969 |
13 | 6548a0 |
14 | 45d917 |
15 | 320673 |
hex | 245421 |
2380833 has 80 divisors (see below), whose sum is σ = 4878720. Its totient is φ = 1119744.
The previous prime is 2380811. The next prime is 2380837. The reversal of 2380833 is 3380832.
2380833 is nontrivially palindromic in base 12.
It is not a de Polignac number, because 2380833 - 25 = 2380801 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (27).
2380833 is a lucky number.
It is a junction number, because it is equal to n+sod(n) for n = 2380797 and 2380806.
It is not an unprimeable number, because it can be changed into a prime (2380837) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 125298 + ... + 125316.
It is an arithmetic number, because the mean of its divisors is an integer number (60984).
22380833 is an apocalyptic number.
It is an amenable number.
2380833 is an abundant number, since it is smaller than the sum of its proper divisors (2497887).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2380833 is a wasteful number, since it uses less digits than its factorization.
2380833 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 68 (or 59 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The square root of 2380833 is about 1542.9948152862. The cubic root of 2380833 is about 133.5292197119.
Subtracting 2380833 from its reverse (3380832), we obtain a palindrome (999999).
The spelling of 2380833 in words is "two million, three hundred eighty thousand, eight hundred thirty-three".
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