| Base | Representation |
|---|---|
| bin | 10100001100101… |
| … | …110011000000000 |
| 3 | 212121122212222010 |
| 4 | 110030232120000 |
| 5 | 1143223130000 |
| 6 | 53343212520 |
| 7 | 11253301224 |
| oct | 2414563000 |
| 9 | 777585863 |
| 10 | 338880000 |
| 11 | 16431a618 |
| 12 | 955a7140 |
| 13 | 55291914 |
| 14 | 33014784 |
| 15 | 1eb3dd50 |
| hex | 1432e600 |
338880000 has 200 divisors, whose sum is σ = 1131331608. Its totient is φ = 90112000.
The previous prime is 338879987. The next prime is 338880007. The reversal of 338880000 is 88833.
It is a tau number, because it is divible by the number of its divisors (200).
It is a super-2 number, since 2×3388800002 = 229679308800000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a zygodrome in base 10.
It is a self number, because there is not a number n which added to its sum of digits gives 338880000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (338880007) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 959824 + ... + 960176.
Almost surely, 2338880000 is an apocalyptic number.
338880000 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 338880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565665804).
338880000 is an abundant number, since it is smaller than the sum of its proper divisors (792451608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
338880000 is an frugal number, since it uses more digits than its factorization.
338880000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 394 (or 363 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 30.
The square root of 338880000 is about 18408.6935984062. The cubic root of 338880000 is about 697.1859816427.
It can be divided in two parts, 3 and 38880000, that multiplied together give a square (116640000 = 108002).
The spelling of 338880000 in words is "three hundred thirty-eight million, eight hundred eighty thousand".
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