| Base | Representation |
|---|---|
| bin | 10100001101001… |
| … | …000111110100000 |
| 3 | 212121212102102200 |
| 4 | 110031020332200 |
| 5 | 1143240121320 |
| 6 | 53345413200 |
| 7 | 11254234002 |
| oct | 2415107640 |
| 9 | 777772380 |
| 10 | 338988960 |
| 11 | 164394472 |
| 12 | 9563a200 |
| 13 | 552cc3ab |
| 14 | 33042372 |
| 15 | 1eb61290 |
| hex | 14348fa0 |
338988960 has 144 divisors (see below), whose sum is σ = 1165207680. Its totient is φ = 89740800.
The previous prime is 338988953. The next prime is 338988967. The reversal of 338988960 is 69889833.
It is an interprime number because it is at equal distance from previous prime (338988953) and next prime (338988967).
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×3389889602 = 229827030003763200, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 338988897 and 338988906.
It is not an unprimeable number, because it can be changed into a prime (338988967) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216661 + ... + 218219.
It is an arithmetic number, because the mean of its divisors is an integer number (8091720).
Almost surely, 2338988960 is an apocalyptic number.
338988960 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 338988960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582603840).
338988960 is an abundant number, since it is smaller than the sum of its proper divisors (826218720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
338988960 is a wasteful number, since it uses less digits than its factorization.
338988960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1731 (or 1720 counting only the distinct ones).
The product of its (nonzero) digits is 2239488, while the sum is 54.
The square root of 338988960 is about 18411.6528318345. The cubic root of 338988960 is about 697.2606956460.
The spelling of 338988960 in words is "three hundred thirty-eight million, nine hundred eighty-eight thousand, nine hundred sixty".
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