| Base | Representation |
|---|---|
| bin | 11000011011010… |
| … | …01101110100000 |
| 3 | 112021120021100000 |
| 4 | 30031221232200 |
| 5 | 404423433001 |
| 6 | 32155500000 |
| 7 | 5035444524 |
| oct | 1415515640 |
| 9 | 467507300 |
| 10 | 204905376 |
| 11 | a5733495 |
| 12 | 58757600 |
| 13 | 335b3cb0 |
| 14 | 1d2dbd84 |
| 15 | 12ec7a86 |
| hex | c369ba0 |
204905376 has 144 divisors (see below), whose sum is σ = 651085344. Its totient is φ = 63016704.
The previous prime is 204905359. The next prime is 204905399. The reversal of 204905376 is 673509402.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-3 number, since 3×2049053763 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 204905376.
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 23 ways as a sum of consecutive naturals, for example, 100075 + ... + 102101.
It is an arithmetic number, because the mean of its divisors is an integer number (4521426).
Almost surely, 2204905376 is an apocalyptic number.
204905376 is a gapful number since it is divisible by the number (26) 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 204905376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325542672).
204905376 is an abundant number, since it is smaller than the sum of its proper divisors (446179968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
204905376 is a wasteful number, since it uses less digits than its factorization.
204905376 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2065 (or 2045 counting only the distinct ones).
The product of its (nonzero) digits is 45360, while the sum is 36.
The square root of 204905376 is about 14314.5162684598. The cubic root of 204905376 is about 589.5461184128.
The spelling of 204905376 in words is "two hundred four million, nine hundred five thousand, three hundred seventy-six".
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