Base | Representation |
---|---|
bin | 11001110000011… |
… | …111111011101000 |
3 | 1010010011012021012 |
4 | 121300133323220 |
5 | 1341112102404 |
6 | 110514203052 |
7 | 13465110230 |
oct | 3160377350 |
9 | 1103135235 |
10 | 432144104 |
11 | 201a30297 |
12 | 100883488 |
13 | 6b6b7492 |
14 | 41570cc0 |
15 | 27e12a6e |
hex | 19c1fee8 |
432144104 has 64 divisors (see below), whose sum is σ = 947376000. Its totient is φ = 180981504.
The previous prime is 432144103. The next prime is 432144107. The reversal of 432144104 is 401441234.
It is a happy number.
It is a self number, because there is not a number n which added to its sum of digits gives 432144104.
It is not an unprimeable number, because it can be changed into a prime (432144103) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558662 + ... + 559434.
It is an arithmetic number, because the mean of its divisors is an integer number (14802750).
Almost surely, 2432144104 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 432144104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473688000).
432144104 is an abundant number, since it is smaller than the sum of its proper divisors (515231896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
432144104 is a wasteful number, since it uses less digits than its factorization.
432144104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1002 (or 998 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 23.
The square root of 432144104 is about 20788.0760052488. The cubic root of 432144104 is about 756.0366759919.
Adding to 432144104 its reverse (401441234), we get a palindrome (833585338).
The spelling of 432144104 in words is "four hundred thirty-two million, one hundred forty-four thousand, one hundred four".
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