Base | Representation |
---|---|
bin | 1101111001011010001000 |
3 | 20212002021112 |
4 | 31321122020 |
5 | 1413034031 |
6 | 210025452 |
7 | 42652016 |
oct | 15713210 |
9 | 6762245 |
10 | 3643016 |
11 | 2069063 |
12 | 1278288 |
13 | 9a7240 |
14 | 6ab8b6 |
15 | 4be62b |
hex | 379688 |
3643016 has 32 divisors (see below), whose sum is σ = 7680960. Its totient is φ = 1607232.
The previous prime is 3643001. The next prime is 3643033. The reversal of 3643016 is 6103463.
3643016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (23).
It is a junction number, because it is equal to n+sod(n) for n = 3642982 and 3643000.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 1631 + ... + 3153.
It is an arithmetic number, because the mean of its divisors is an integer number (240030).
Almost surely, 23643016 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 3643016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840480).
3643016 is an abundant number, since it is smaller than the sum of its proper divisors (4037944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3643016 is a wasteful number, since it uses less digits than its factorization.
3643016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1565 (or 1561 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 23.
The square root of 3643016 is about 1908.6686459415. The cubic root of 3643016 is about 153.8699075630.
Adding to 3643016 its reverse (6103463), we get a palindrome (9746479).
The spelling of 3643016 in words is "three million, six hundred forty-three thousand, sixteen".
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