| Base | Representation |
|---|---|
| bin | 10100001011100… |
| … | …010101011000000 |
| 3 | 212121002010121200 |
| 4 | 110023202223000 |
| 5 | 1143133214140 |
| 6 | 53332421200 |
| 7 | 11250540213 |
| oct | 2413425300 |
| 9 | 777063550 |
| 10 | 338569920 |
| 11 | 164128657 |
| 12 | 95477800 |
| 13 | 551b3740 |
| 14 | 32d7377a |
| 15 | 1eacc030 |
| hex | 142e2ac0 |
338569920 has 168 divisors, whose sum is σ = 1254258096. Its totient is φ = 83331072.
The previous prime is 338569897. The next prime is 338569921. The reversal of 338569920 is 29965833.
338569920 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 2×3385699202 = 229259181457612800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (338569921) 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 23 ways as a sum of consecutive naturals, for example, 32919 + ... + 41961.
It is an arithmetic number, because the mean of its divisors is an integer number (7465822).
Almost surely, 2338569920 is an apocalyptic number.
338569920 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 338569920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627129048).
338569920 is an abundant number, since it is smaller than the sum of its proper divisors (915688176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
338569920 is a wasteful number, since it uses less digits than its factorization.
338569920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9079 (or 9066 counting only the distinct ones).
The product of its (nonzero) digits is 349920, while the sum is 45.
The square root of 338569920 is about 18400.2695632428. The cubic root of 338569920 is about 696.9732717359.
The spelling of 338569920 in words is "three hundred thirty-eight million, five hundred sixty-nine thousand, nine hundred twenty".
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