Base | Representation |
---|---|
bin | 11001101001111… |
… | …011111111100000 |
3 | 1002222220210202211 |
4 | 121221323333200 |
5 | 1340142032112 |
6 | 110413251504 |
7 | 13444354363 |
oct | 3151737740 |
9 | 1088823684 |
10 | 430424032 |
11 | 200a65a45 |
12 | 100193b94 |
13 | 6b23459c |
14 | 412440da |
15 | 27bc30a7 |
hex | 19a7bfe0 |
430424032 has 48 divisors (see below), whose sum is σ = 880165440. Its totient is φ = 206950912.
The previous prime is 430424021. The next prime is 430424063. The reversal of 430424032 is 230424034.
It is a junction number, because it is equal to n+sod(n) for n = 430423994 and 430424012.
It is a congruent number.
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, 271113 + ... + 272695.
It is an arithmetic number, because the mean of its divisors is an integer number (18336780).
Almost surely, 2430424032 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 430424032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440082720).
430424032 is an abundant number, since it is smaller than the sum of its proper divisors (449741408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
430424032 is a wasteful number, since it uses less digits than its factorization.
430424032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1915 (or 1907 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 22.
The square root of 430424032 is about 20746.6631533844. The cubic root of 430424032 is about 755.0322527631.
Adding to 430424032 its reverse (230424034), we get a palindrome (660848066).
It can be divided in two parts, 43042 and 4032, that added together give a palindrome (47074).
The spelling of 430424032 in words is "four hundred thirty million, four hundred twenty-four thousand, thirty-two".
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