Base | Representation |
---|---|
bin | 11001101001100… |
… | …101000100000000 |
3 | 1002222202000221022 |
4 | 121221211010000 |
5 | 1340131030422 |
6 | 110411245012 |
7 | 13443513512 |
oct | 3151450400 |
9 | 1088660838 |
10 | 430330112 |
11 | 200a01423 |
12 | 100149768 |
13 | 6b200904 |
14 | 4121bbb2 |
15 | 27ba5342 |
hex | 19a65100 |
430330112 has 72 divisors (see below), whose sum is σ = 924987672. Its totient is φ = 199065600.
The previous prime is 430330097. The next prime is 430330133. The reversal of 430330112 is 211033034.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 59228416 + 371101696 = 7696^2 + 19264^2 .
It is a Harshad number since it is a multiple of its sum of digits (17).
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264662 + ... + 266282.
It is an arithmetic number, because the mean of its divisors is an integer number (12847051).
Almost surely, 2430330112 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 430330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462493836).
430330112 is an abundant number, since it is smaller than the sum of its proper divisors (494657560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
430330112 is a wasteful number, since it uses less digits than its factorization.
430330112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1715 (or 1701 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 17.
The square root of 430330112 is about 20744.3995333680. The cubic root of 430330112 is about 754.9773318926.
Adding to 430330112 its reverse (211033034), we get a palindrome (641363146).
The spelling of 430330112 in words is "four hundred thirty million, three hundred thirty thousand, one hundred twelve".
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