Base | Representation |
---|---|
bin | 11001001100000… |
… | …11111110010100 |
3 | 112201121101001200 |
4 | 30212003332110 |
5 | 413043214330 |
6 | 32544552500 |
7 | 5144025432 |
oct | 1446037624 |
9 | 481541050 |
10 | 211304340 |
11 | a9304095 |
12 | 5a922730 |
13 | 34a14770 |
14 | 200c5d52 |
15 | 1383da60 |
hex | c983f94 |
211304340 has 144 divisors (see below), whose sum is σ = 700282128. Its totient is φ = 51259392.
The previous prime is 211304323. The next prime is 211304341. The reversal of 211304340 is 43403112.
211304340 is a `hidden beast` number, since 21 + 1 + 304 + 340 = 666.
211304340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 2039184 + 209265156 = 1428^2 + 14466^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (211304341) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170202 + ... + 171438.
Almost surely, 2211304340 is an apocalyptic number.
211304340 is a gapful number since it is divisible by the number (20) 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 211304340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350141064).
211304340 is an abundant number, since it is smaller than the sum of its proper divisors (488977788).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211304340 is a wasteful number, since it uses less digits than its factorization.
211304340 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1338 (or 1333 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 211304340 is about 14536.3110863795. The cubic root of 211304340 is about 595.6202744625.
Adding to 211304340 its reverse (43403112), we get a palindrome (254707452).
The spelling of 211304340 in words is "two hundred eleven million, three hundred four thousand, three hundred forty".
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