| Base | Representation |
|---|---|
| bin | 10100001011011… |
| … | …100101000110000 |
| 3 | 212121000212201010 |
| 4 | 110023130220300 |
| 5 | 1143131421300 |
| 6 | 53332110520 |
| 7 | 11250405150 |
| oct | 2413345060 |
| 9 | 777025633 |
| 10 | 338545200 |
| 11 | 164111024 |
| 12 | 95465440 |
| 13 | 551a5406 |
| 14 | 32d68760 |
| 15 | 1eac4a50 |
| hex | 142dca30 |
338545200 has 240 divisors, whose sum is σ = 1270918656. Its totient is φ = 75417600.
The previous prime is 338545199. The next prime is 338545201. The reversal of 338545200 is 2545833.
338545200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (338545199) and next prime (338545201).
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×3385452002 = 229225704886080000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is not an unprimeable number, because it can be changed into a prime (338545201) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343909 + ... + 344891.
Almost surely, 2338545200 is an apocalyptic number.
338545200 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 338545200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635459328).
338545200 is an abundant number, since it is smaller than the sum of its proper divisors (932373456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
338545200 is a wasteful number, since it uses less digits than its factorization.
338545200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1052 (or 1041 counting only the distinct ones).
The product of its (nonzero) digits is 14400, while the sum is 30.
The square root of 338545200 is about 18399.5978216916. The cubic root of 338545200 is about 696.9563086237.
The spelling of 338545200 in words is "three hundred thirty-eight million, five hundred forty-five thousand, two hundred".
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