Base | Representation |
---|---|
bin | 1001000101100111010000 |
3 | 11111000212220 |
4 | 21011213100 |
5 | 1102213123 |
6 | 123021040 |
7 | 26151306 |
oct | 11054720 |
9 | 4430786 |
10 | 2382288 |
11 | 1387937 |
12 | 96a780 |
13 | 65544c |
14 | 460276 |
15 | 320ce3 |
hex | 2459d0 |
2382288 has 40 divisors (see below), whose sum is σ = 6356736. Its totient is φ = 768000.
The previous prime is 2382283. The next prime is 2382299. The reversal of 2382288 is 8822832.
It is a super-2 number, since 2×23822882 = 11350592229888, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2382283) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 688 + ... + 2288.
22382288 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 2382288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178368).
2382288 is an abundant number, since it is smaller than the sum of its proper divisors (3974448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2382288 is a wasteful number, since it uses less digits than its factorization.
2382288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1643 (or 1637 counting only the distinct ones).
The product of its digits is 12288, while the sum is 33.
The square root of 2382288 is about 1543.4662289794. The cubic root of 2382288 is about 133.5564154385.
The spelling of 2382288 in words is "two million, three hundred eighty-two thousand, two hundred eighty-eight".
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