Base | Representation |
---|---|
bin | 111111000000000000000 |
3 | 10212212210200 |
4 | 13320000000 |
5 | 1012030014 |
6 | 112125200 |
7 | 23355420 |
oct | 7700000 |
9 | 3785720 |
10 | 2064384 |
11 | 1190003 |
12 | 836800 |
13 | 57383a |
14 | 3ba480 |
15 | 2aba09 |
hex | 1f8000 |
2064384 has 96 divisors (see below), whose sum is σ = 6815640. Its totient is φ = 589824.
The previous prime is 2064379. The next prime is 2064389. The reversal of 2064384 is 4834602.
It is an interprime number because it is at equal distance from previous prime (2064379) and next prime (2064389).
It is a tau number, because it is divible by the number of its divisors (96).
It is a nialpdrome in base 2 and base 8.
It is a zygodrome in base 2 and base 8.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2064389) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294909 + ... + 294915.
22064384 is an apocalyptic number.
2064384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2064384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407820).
2064384 is an abundant number, since it is smaller than the sum of its proper divisors (4751256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2064384 is an frugal number, since it uses more digits than its factorization.
2064384 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 43 (or 12 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The square root of 2064384 is about 1436.7964365212. The cubic root of 2064384 is about 127.3298306527.
Adding to 2064384 its reverse (4834602), we get a palindrome (6898986).
The spelling of 2064384 in words is "two million, sixty-four thousand, three hundred eighty-four".
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