Base | Representation |
---|---|
bin | 111110101101100… |
… | …0010100100000000 |
3 | 12102122111111011001 |
4 | 1331123002210000 |
5 | 13302141143014 |
6 | 544445101344 |
7 | 103100514421 |
oct | 17533024400 |
9 | 5378444131 |
10 | 2104240384 |
11 | 98a874a44 |
12 | 4a8857854 |
13 | 276c43c6c |
14 | 15d671648 |
15 | c4b03974 |
hex | 7d6c2900 |
2104240384 has 81 divisors (see below), whose sum is σ = 4363036041. Its totient is φ = 1012853760.
The previous prime is 2104240381. The next prime is 2104240393. The reversal of 2104240384 is 4830424012.
It is a happy number.
The square root of 2104240384 is 45872.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 68425984 + 2035814400 = 8272^2 + 45120^2 .
It is not an unprimeable number, because it can be changed into a prime (2104240381) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34495714 + ... + 34495774.
Almost surely, 22104240384 is an apocalyptic number.
2104240384 is the 45872-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2104240384
2104240384 is an abundant number, since it is smaller than the sum of its proper divisors (2258795657).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2104240384 is an frugal number, since it uses more digits than its factorization.
2104240384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 232 (or 110 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 28.
The cubic root of 2104240384 is about 1281.4405136526.
Adding to 2104240384 its reverse (4830424012), we get a palindrome (6934664396).
The spelling of 2104240384 in words is "two billion, one hundred four million, two hundred forty thousand, three hundred eighty-four".
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