Base | Representation |
---|---|
bin | 1101010011001101100100 |
3 | 20120010200000 |
4 | 31103031210 |
5 | 1343032224 |
6 | 202421300 |
7 | 41430624 |
oct | 15231544 |
9 | 6503600 |
10 | 3486564 |
11 | 1a71564 |
12 | 1201830 |
13 | 950c73 |
14 | 66a884 |
15 | 48d0c9 |
hex | 353364 |
3486564 has 72 divisors (see below), whose sum is σ = 9723168. Its totient is φ = 1088640.
The previous prime is 3486563. The next prime is 3486589. The reversal of 3486564 is 4656843.
3486564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×34865642 = 24312257052192, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (3486563) 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 23 ways as a sum of consecutive naturals, for example, 16419 + ... + 16629.
It is an arithmetic number, because the mean of its divisors is an integer number (135044).
Almost surely, 23486564 is an apocalyptic number.
3486564 is a gapful number since it is divisible by the number (34) 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 3486564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4861584).
3486564 is an abundant number, since it is smaller than the sum of its proper divisors (6236604).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3486564 is a wasteful number, since it uses less digits than its factorization.
3486564 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 247 (or 233 counting only the distinct ones).
The product of its digits is 69120, while the sum is 36.
The square root of 3486564 is about 1867.2343184507. The cubic root of 3486564 is about 151.6349155985.
The spelling of 3486564 in words is "three million, four hundred eighty-six thousand, five hundred sixty-four".
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