Base | Representation |
---|---|
bin | 11001101000101… |
… | …110011000000000 |
3 | 1002222022122200000 |
4 | 121220232120000 |
5 | 1340101343422 |
6 | 110402400000 |
7 | 13441561452 |
oct | 3150563000 |
9 | 1088278600 |
10 | 430106112 |
11 | 2008690a7 |
12 | 100060000 |
13 | 6b152977 |
14 | 411a02d2 |
15 | 27b5dcac |
hex | 19a2e600 |
430106112 has 120 divisors (see below), whose sum is σ = 1287662376. Its totient is φ = 143327232.
The previous prime is 430106111. The next prime is 430106119. The reversal of 430106112 is 211601034.
It is a happy number.
430106112 is a `hidden beast` number, since 43 + 0 + 10 + 611 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (430106111) 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 11 ways as a sum of consecutive naturals, for example, 122688 + ... + 126144.
Almost surely, 2430106112 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 430106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643831188).
430106112 is an abundant number, since it is smaller than the sum of its proper divisors (857556264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
430106112 is an frugal number, since it uses more digits than its factorization.
430106112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3490 (or 3462 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 430106112 is about 20738.9997830175. Note that the first 3 decimals coincide. The cubic root of 430106112 is about 754.8463128839.
Adding to 430106112 its reverse (211601034), we get a palindrome (641707146).
The spelling of 430106112 in words is "four hundred thirty million, one hundred six thousand, one hundred twelve".
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