Base | Representation |
---|---|
bin | 11000011110101… |
… | …00001001110100 |
3 | 112022101102022100 |
4 | 30033110021310 |
5 | 410031410200 |
6 | 32213102100 |
7 | 5042241453 |
oct | 1417241164 |
9 | 468342270 |
10 | 205341300 |
11 | a5a00a5a |
12 | 58927930 |
13 | 33707538 |
14 | 1d3b2b9a |
15 | 13061d00 |
hex | c3d4274 |
205341300 has 108 divisors (see below), whose sum is σ = 681542316. Its totient is φ = 51532800.
The previous prime is 205341287. The next prime is 205341359. The reversal of 205341300 is 3143502.
205341300 is a `hidden beast` number, since 2 + 0 + 534 + 130 + 0 = 666.
205341300 is nontrivially palindromic in base 11.
205341300 is digitally balanced in base 3, 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 6 ways, for example, as 15397776 + 189943524 = 3924^2 + 13782^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
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 35 ways as a sum of consecutive naturals, for example, 8590 + ... + 22010.
It is an arithmetic number, because the mean of its divisors is an integer number (6310577).
Almost surely, 2205341300 is an apocalyptic number.
205341300 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 205341300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340771158).
205341300 is an abundant number, since it is smaller than the sum of its proper divisors (476201016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
205341300 is a wasteful number, since it uses less digits than its factorization.
205341300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13458 (or 13448 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 18.
The square root of 205341300 is about 14329.7348195980. The cubic root of 205341300 is about 589.9638970535.
Adding to 205341300 its reverse (3143502), we get a palindrome (208484802).
The spelling of 205341300 in words is "two hundred five million, three hundred forty-one thousand, three hundred".
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