| Base | Representation |
|---|---|
| bin | 10100001011100… |
| … | …100101101000000 |
| 3 | 212121002120000211 |
| 4 | 110023210231000 |
| 5 | 1143134000430 |
| 6 | 53332523504 |
| 7 | 11250603400 |
| oct | 2413445500 |
| 9 | 777076024 |
| 10 | 338578240 |
| 11 | 164133930 |
| 12 | 95480594 |
| 13 | 551b7470 |
| 14 | 32d76800 |
| 15 | 1eace72a |
| hex | 142e4b40 |
338578240 has 336 divisors, whose sum is σ = 1109130624. Its totient is φ = 96768000.
The previous prime is 338578217. The next prime is 338578241. The reversal of 338578240 is 42875833.
338578240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×3385782402 = 229270449202995200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a junction number, because it is equal to n+sod(n) for n = 338578193 and 338578202.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (338578241) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2242165 + ... + 2242315.
It is an arithmetic number, because the mean of its divisors is an integer number (3300984).
Almost surely, 2338578240 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 338578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554565312).
338578240 is an abundant number, since it is smaller than the sum of its proper divisors (770552384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
338578240 is a wasteful number, since it uses less digits than its factorization.
338578240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 206 (or 189 counting only the distinct ones).
The product of its (nonzero) digits is 161280, while the sum is 40.
The square root of 338578240 is about 18400.4956454982. The cubic root of 338578240 is about 696.9789808177.
The spelling of 338578240 in words is "three hundred thirty-eight million, five hundred seventy-eight thousand, two hundred forty".
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