| Base | Representation |
|---|---|
| bin | 10100001010001… |
| … | …010010111000000 |
| 3 | 212120101202102100 |
| 4 | 110022022113000 |
| 5 | 1143040130232 |
| 6 | 53320550400 |
| 7 | 11244502500 |
| oct | 2412122700 |
| 9 | 776352370 |
| 10 | 338208192 |
| 11 | 163a00903 |
| 12 | 95322400 |
| 13 | 550b7bba |
| 14 | 32cbba00 |
| 15 | 1ea59c7c |
| hex | 1428a5c0 |
338208192 has 252 divisors, whose sum is σ = 1178972496. Its totient is φ = 92252160.
The previous prime is 338208191. The next prime is 338208203. The reversal of 338208192 is 291802833.
It is a happy number.
338208192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (252).
It is a super-2 number, since 2×3382081922 = 228769562271817728, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (338208191) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 648892 + ... + 649412.
Almost surely, 2338208192 is an apocalyptic number.
338208192 is a gapful number since it is divisible by the number (32) 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 338208192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589486248).
338208192 is an abundant number, since it is smaller than the sum of its proper divisors (840764304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
338208192 is a wasteful number, since it uses less digits than its factorization.
338208192 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 576 (or 556 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The square root of 338208192 is about 18390.4375151871. The cubic root of 338208192 is about 696.7249679415.
It can be divided in two parts, 33 and 8208192, that added together give a square (8208225 = 28652).
The spelling of 338208192 in words is "three hundred thirty-eight million, two hundred eight thousand, one hundred ninety-two".
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