Base | Representation |
---|---|
bin | 1101001110011010010100 |
3 | 20112010200201 |
4 | 31032122110 |
5 | 1341420100 |
6 | 202150244 |
7 | 41316403 |
oct | 15163224 |
9 | 6463621 |
10 | 3466900 |
11 | 1a58808 |
12 | 11b2384 |
13 | 945028 |
14 | 66363a |
15 | 48736a |
hex | 34e694 |
3466900 has 36 divisors (see below), whose sum is σ = 7734748. Its totient is φ = 1347840.
The previous prime is 3466891. The next prime is 3466901. The reversal of 3466900 is 96643.
3466900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 6 ways, for example, as 125316 + 3341584 = 354^2 + 1828^2 .
It is a super-2 number, since 2×34669002 = 24038791220000, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3466901) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3232 + ... + 4168.
Almost surely, 23466900 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 3466900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867374).
3466900 is an abundant number, since it is smaller than the sum of its proper divisors (4267848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3466900 is a wasteful number, since it uses less digits than its factorization.
3466900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 988 (or 981 counting only the distinct ones).
The product of its (nonzero) digits is 3888, while the sum is 28.
The square root of 3466900 is about 1861.9613314997. The cubic root of 3466900 is about 151.3493075485.
The spelling of 3466900 in words is "three million, four hundred sixty-six thousand, nine hundred".
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