| Base | Representation |
|---|---|
| bin | 10100001100001… |
| … | …001100001010000 |
| 3 | 212121101012220000 |
| 4 | 110030021201100 |
| 5 | 1143203312130 |
| 6 | 53340050000 |
| 7 | 11252102136 |
| oct | 2414114120 |
| 9 | 777335800 |
| 10 | 338729040 |
| 11 | 164227161 |
| 12 | 95533900 |
| 13 | 5523acb0 |
| 14 | 32db5756 |
| 15 | 1eb0e260 |
| hex | 14309850 |
338729040 has 200 divisors, whose sum is σ = 1267267848. Its totient is φ = 83358720.
The previous prime is 338728997. The next prime is 338729057. The reversal of 338729040 is 40927833.
338729040 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 4 ways, for example, as 6906384 + 331822656 = 2628^2 + 18216^2 .
It is a super-2 number, since 2×3387290402 = 229474725078643200, which contains 22 as substring.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 338728986 and 338729004.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82230 + ... + 86250.
Almost surely, 2338729040 is an apocalyptic number.
338729040 is a gapful number since it is divisible by the number (30) 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 338729040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633633924).
338729040 is an abundant number, since it is smaller than the sum of its proper divisors (928538808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
338729040 is a wasteful number, since it uses less digits than its factorization.
338729040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4059 (or 4044 counting only the distinct ones).
The product of its (nonzero) digits is 36288, while the sum is 36.
The square root of 338729040 is about 18404.5929050332. The cubic root of 338729040 is about 697.0824417193.
The spelling of 338729040 in words is "three hundred thirty-eight million, seven hundred twenty-nine thousand, forty".
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