Base | Representation |
---|---|
bin | 111101110000000000000 |
3 | 10210210121122 |
4 | 13232000000 |
5 | 1004222144 |
6 | 111211412 |
7 | 23125124 |
oct | 7560000 |
9 | 3723548 |
10 | 2023424 |
11 | 1162257 |
12 | 816b68 |
13 | 55acc0 |
14 | 3a9584 |
15 | 29e7ee |
hex | 1ee000 |
2023424 has 56 divisors (see below), whose sum is σ = 4587240. Its totient is φ = 884736.
The previous prime is 2023421. The next prime is 2023433. The reversal of 2023424 is 4243202.
It is an Ulam number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2023421) 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 3 ways as a sum of consecutive naturals, for example, 106487 + ... + 106505.
It is an arithmetic number, because the mean of its divisors is an integer number (81915).
22023424 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 2023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293620).
2023424 is an abundant number, since it is smaller than the sum of its proper divisors (2563816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2023424 is an equidigital number, since it uses as much as digits as its factorization.
2023424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 58 (or 34 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 17.
The square root of 2023424 is about 1422.4710893371. The cubic root of 2023424 is about 126.4820702923.
Adding to 2023424 its reverse (4243202), we get a palindrome (6266626).
The spelling of 2023424 in words is "two million, twenty-three thousand, four hundred twenty-four".
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