Base | Representation |
---|---|
bin | 1011101110110000000 |
3 | 201112021110 |
4 | 1131312000 |
5 | 44300014 |
6 | 12123320 |
7 | 3160440 |
oct | 1356600 |
9 | 645243 |
10 | 384384 |
11 | 242880 |
12 | 166540 |
13 | 105c60 |
14 | a0120 |
15 | 78d59 |
hex | 5dd80 |
384384 has 128 divisors (see below), whose sum is σ = 1370880. Its totient is φ = 92160.
The previous prime is 384383. The next prime is 384403. The reversal of 384384 is 483483.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.
It is a nude number because it is divisible by every one of its digits.
Its product of digits (9216) is a multiple of the sum of its prime divisors (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (384383) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29562 + ... + 29574.
It is an arithmetic number, because the mean of its divisors is an integer number (10710).
2384384 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 384384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685440).
384384 is an abundant number, since it is smaller than the sum of its proper divisors (986496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
384384 is a wasteful number, since it uses less digits than its factorization.
384384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 48 (or 36 counting only the distinct ones).
The product of its digits is 9216, while the sum is 30.
The square root of 384384 is about 619.9870966399. The cubic root of 384384 is about 72.7090439162.
Subtracting 384384 from its reverse (483483), we obtain a palindrome (99099).
The spelling of 384384 in words is "three hundred eighty-four thousand, three hundred eighty-four".
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