Base | Representation |
---|---|
bin | 1110100101011000000000 |
3 | 21012020022110 |
4 | 32211120000 |
5 | 1434314404 |
6 | 213535320 |
7 | 44332035 |
oct | 16453000 |
9 | 7166273 |
10 | 3823104 |
11 | 218139a |
12 | 1344540 |
13 | a3b1bc |
14 | 71738c |
15 | 507b89 |
hex | 3a5600 |
3823104 has 80 divisors (see below), whose sum is σ = 10802880. Its totient is φ = 1198080.
The previous prime is 3823103. The next prime is 3823117. The reversal of 3823104 is 4013283.
It is a happy number.
It is a super-2 number, since 2×38231042 = 29232248389632, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3823103) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29119 + ... + 29249.
It is an arithmetic number, because the mean of its divisors is an integer number (135036).
Almost surely, 23823104 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 3823104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5401440).
3823104 is an abundant number, since it is smaller than the sum of its proper divisors (6979776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3823104 is a wasteful number, since it uses less digits than its factorization.
3823104 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 171 (or 155 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 21.
The square root of 3823104 is about 1955.2759396055. The cubic root of 3823104 is about 156.3646957334.
Adding to 3823104 its reverse (4013283), we get a palindrome (7836387).
It can be divided in two parts, 382 and 3104, that added together give a triangular number (3486 = T83).
The spelling of 3823104 in words is "three million, eight hundred twenty-three thousand, one hundred four".
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