Base | Representation |
---|---|
bin | 11000011011110… |
… | …11100011010000 |
3 | 112021200222111000 |
4 | 30031323203100 |
5 | 404433302014 |
6 | 32201222000 |
7 | 5036200422 |
oct | 1415734320 |
9 | 467628430 |
10 | 204978384 |
11 | a5783326 |
12 | 58791900 |
13 | 3360b2b0 |
14 | 1d31a812 |
15 | 12ede509 |
hex | c37b8d0 |
204978384 has 320 divisors, whose sum is σ = 712454400. Its totient is φ = 55738368.
The previous prime is 204978383. The next prime is 204978413. The reversal of 204978384 is 483879402.
204978384 is a `hidden beast` number, since 2 + 0 + 497 + 83 + 84 = 666.
204978384 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2049783842 = 84032275814502912, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (204978383) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1813912 + ... + 1814024.
It is an arithmetic number, because the mean of its divisors is an integer number (2226420).
Almost surely, 2204978384 is an apocalyptic number.
204978384 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 204978384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356227200).
204978384 is an abundant number, since it is smaller than the sum of its proper divisors (507476016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
204978384 is a wasteful number, since it uses less digits than its factorization.
204978384 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 179 (or 167 counting only the distinct ones).
The product of its (nonzero) digits is 387072, while the sum is 45.
The square root of 204978384 is about 14317.0661799127. The cubic root of 204978384 is about 589.6161287316.
The spelling of 204978384 in words is "two hundred four million, nine hundred seventy-eight thousand, three hundred eighty-four".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.063 sec. • engine limits •