Base | Representation |
---|---|
bin | 11000011010011… |
… | …10100011010000 |
3 | 112021100121122100 |
4 | 30031032203100 |
5 | 404411402224 |
6 | 32153240400 |
7 | 5034502146 |
oct | 1415164320 |
9 | 467317570 |
10 | 204794064 |
11 | a56678a2 |
12 | 58703100 |
13 | 33575427 |
14 | 1d2ad596 |
15 | 12ea4ac9 |
hex | c34e8d0 |
204794064 has 60 divisors (see below), whose sum is σ = 578854692. Its totient is φ = 67584000.
The previous prime is 204794059. The next prime is 204794069. The reversal of 204794064 is 460497402.
It is an interprime number because it is at equal distance from previous prime (204794059) and next prime (204794069).
It can be written as a sum of positive squares in 2 ways, for example, as 185504400 + 19289664 = 13620^2 + 4392^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (204794069) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7504 + ... + 21584.
Almost surely, 2204794064 is an apocalyptic number.
204794064 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 204794064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289427346).
204794064 is an abundant number, since it is smaller than the sum of its proper divisors (374060628).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
204794064 is a wasteful number, since it uses less digits than its factorization.
204794064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 14196 (or 14187 counting only the distinct ones).
The product of its (nonzero) digits is 48384, while the sum is 36.
The square root of 204794064 is about 14310.6276591909. The cubic root of 204794064 is about 589.4393448287.
The spelling of 204794064 in words is "two hundred four million, seven hundred ninety-four thousand, sixty-four".
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