Base | Representation |
---|---|
bin | 11001100101000… |
… | …100000010000100 |
3 | 1002220111212222100 |
4 | 121211010002010 |
5 | 1334330134434 |
6 | 110330032100 |
7 | 13430453142 |
oct | 3145040204 |
9 | 1086455870 |
10 | 429146244 |
11 | 200272a1a |
12 | bb878630 |
13 | 6aba7ab7 |
14 | 40dd0592 |
15 | 27a1e699 |
hex | 19944084 |
429146244 has 36 divisors (see below), whose sum is σ = 1086220044. Its totient is φ = 142859712.
The previous prime is 429146243. The next prime is 429146251. The reversal of 429146244 is 442641924.
It is a happy number.
429146244 is a `hidden beast` number, since 4 + 29 + 1 + 4 + 624 + 4 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 156500100 + 272646144 = 12510^2 + 16512^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 429146199 and 429146208.
It is not an unprimeable number, because it can be changed into a prime (429146243) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21214 + ... + 36170.
It is an arithmetic number, because the mean of its divisors is an integer number (30172779).
Almost surely, 2429146244 is an apocalyptic number.
It is an amenable number.
429146244 is an abundant number, since it is smaller than the sum of its proper divisors (657073800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
429146244 is a wasteful number, since it uses less digits than its factorization.
429146244 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15764 (or 15759 counting only the distinct ones).
The product of its digits is 55296, while the sum is 36.
The square root of 429146244 is about 20715.8452398158. The cubic root of 429146244 is about 754.2843643595.
The spelling of 429146244 in words is "four hundred twenty-nine million, one hundred forty-six thousand, two hundred forty-four".
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