Base | Representation |
---|---|
bin | 1010100111111000000 |
3 | 122200111110 |
4 | 1110333000 |
5 | 42114341 |
6 | 11243320 |
7 | 2646600 |
oct | 1247700 |
9 | 580443 |
10 | 348096 |
11 | 218591 |
12 | 149540 |
13 | c2598 |
14 | 90c00 |
15 | 6d216 |
hex | 54fc0 |
348096 has 84 divisors (see below), whose sum is σ = 1100328. Its totient is φ = 96768.
The previous prime is 348083. The next prime is 348097. The reversal of 348096 is 690843.
It is a tau number, because it is divible by the number of its divisors (84).
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 348096.
It is not an unprimeable number, because it can be changed into a prime (348097) by changing a digit.
348096 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9390 + ... + 9426.
2348096 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 348096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550164).
348096 is an abundant number, since it is smaller than the sum of its proper divisors (752232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
348096 is a wasteful number, since it uses less digits than its factorization.
348096 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 66 (or 49 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 30.
The square root of 348096 is about 589.9966101598. The cubic root of 348096 is about 70.3449638730.
The spelling of 348096 in words is "three hundred forty-eight thousand, ninety-six".
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