Base | Representation |
---|---|
bin | 11000000101100011100000 |
3 | 102212210110120 |
4 | 120011203200 |
5 | 3104023313 |
6 | 343200240 |
7 | 104445525 |
oct | 30054340 |
9 | 12783416 |
10 | 6314208 |
11 | 3622a5a |
12 | 2146080 |
13 | 1401024 |
14 | ba514c |
15 | 84ad23 |
hex | 6058e0 |
6314208 has 96 divisors (see below), whose sum is σ = 18125856. Its totient is φ = 1916928.
The previous prime is 6314207. The next prime is 6314219. The reversal of 6314208 is 8024136.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (6314201) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86460 + ... + 86532.
It is an arithmetic number, because the mean of its divisors is an integer number (188811).
Almost surely, 26314208 is an apocalyptic number.
6314208 is a gapful number since it is divisible by the number (68) 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 6314208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9062928).
6314208 is an abundant number, since it is smaller than the sum of its proper divisors (11811648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6314208 is a wasteful number, since it uses less digits than its factorization.
6314208 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 156 (or 148 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 24.
The square root of 6314208 is about 2512.8087869951. The cubic root of 6314208 is about 184.8302118856.
The spelling of 6314208 in words is "six million, three hundred fourteen thousand, two hundred eight".
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