| Base | Representation |
|---|---|
| bin | 10100001010110… |
| … | …110011000000000 |
| 3 | 212120201220201200 |
| 4 | 110022312120000 |
| 5 | 1143111412410 |
| 6 | 53324501200 |
| 7 | 11246153223 |
| oct | 2412663000 |
| 9 | 776656650 |
| 10 | 338388480 |
| 11 | 164014301 |
| 12 | 953aa800 |
| 13 | 5514bc91 |
| 14 | 32d275ba |
| 15 | 1ea933c0 |
| hex | 142b6600 |
338388480 has 240 divisors, whose sum is σ = 1235211120. Its totient is φ = 85377024.
The previous prime is 338388473. The next prime is 338388487. The reversal of 338388480 is 84883833.
It is an interprime number because it is at equal distance from previous prime (338388473) and next prime (338388487).
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×3383884802 = 229013526793420800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (338388487) 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, 437374 + ... + 438146.
It is an arithmetic number, because the mean of its divisors is an integer number (5146713).
Almost surely, 2338388480 is an apocalyptic number.
338388480 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 338388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617605560).
338388480 is an abundant number, since it is smaller than the sum of its proper divisors (896822640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
338388480 is a wasteful number, since it uses less digits than its factorization.
338388480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 821 (or 802 counting only the distinct ones).
The product of its (nonzero) digits is 442368, while the sum is 45.
The square root of 338388480 is about 18395.3385399671. The cubic root of 338388480 is about 696.8487465694.
The spelling of 338388480 in words is "three hundred thirty-eight million, three hundred eighty-eight thousand, four hundred eighty".
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