Base | Representation |
---|---|
bin | 100000010111110… |
… | …101000000000000 |
3 | 1101211222012220000 |
4 | 200113311000000 |
5 | 2103014223222 |
6 | 125520520000 |
7 | 16313264253 |
oct | 4027650000 |
9 | 1354865800 |
10 | 543117312 |
11 | 259637091 |
12 | 131a80000 |
13 | 886a07ba |
14 | 521bb09a |
15 | 32a339ac |
hex | 205f5000 |
543117312 has 130 divisors (see below), whose sum is σ = 1623439818. Its totient is φ = 180928512.
The previous prime is 543117293. The next prime is 543117319. The reversal of 543117312 is 213711345.
543117312 is a `hidden beast` number, since 543 + 117 + 3 + 1 + 2 = 666.
It can be written as a sum of positive squares in only one way, i.e., 318836736 + 224280576 = 17856^2 + 14976^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (543117319) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 330958 + ... + 332594.
Almost surely, 2543117312 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 543117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811719909).
543117312 is an abundant number, since it is smaller than the sum of its proper divisors (1080322506).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
543117312 is an equidigital number, since it uses as much as digits as its factorization.
543117312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1673 (or 1642 counting only the distinct ones).
The product of its digits is 2520, while the sum is 27.
The square root of 543117312 is about 23304.8774294138. The cubic root of 543117312 is about 815.8892583280.
Adding to 543117312 its reverse (213711345), we get a palindrome (756828657).
It can be divided in two parts, 543 and 117312, that added together give a triangular number (117855 = T485).
The spelling of 543117312 in words is "five hundred forty-three million, one hundred seventeen thousand, three hundred twelve".
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