Base | Representation |
---|---|
bin | 11000001100100100000000 |
3 | 102221020211200 |
4 | 120030210000 |
5 | 3110433122 |
6 | 343541200 |
7 | 104625312 |
oct | 30144400 |
9 | 12836750 |
10 | 6342912 |
11 | 3642584 |
12 | 215a800 |
13 | 1411104 |
14 | bb17b2 |
15 | 8545ac |
hex | 60c900 |
6342912 has 54 divisors (see below), whose sum is σ = 18294822. Its totient is φ = 2113536.
The previous prime is 6342911. The next prime is 6342923. The reversal of 6342912 is 2192436.
6342912 is a `hidden beast` number, since 634 + 29 + 1 + 2 = 666.
It can be written as a sum of positive squares in only one way, i.e., 6230016 + 112896 = 2496^2 + 336^2 .
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (6342911) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 928 + ... + 3680.
It is an arithmetic number, because the mean of its divisors is an integer number (338793).
Almost surely, 26342912 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 6342912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9147411).
6342912 is an abundant number, since it is smaller than the sum of its proper divisors (11951910).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6342912 is a wasteful number, since it uses less digits than its factorization.
6342912 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2775 (or 2758 counting only the distinct ones).
The product of its digits is 2592, while the sum is 27.
The square root of 6342912 is about 2518.5138474902. The cubic root of 6342912 is about 185.1098641320.
The spelling of 6342912 in words is "six million, three hundred forty-two thousand, nine hundred twelve".
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