Base | Representation |
---|---|
bin | 11001101000110… |
… | …010100110110000 |
3 | 1002222100112102210 |
4 | 121220302212300 |
5 | 1340102422230 |
6 | 110403012120 |
7 | 13441663125 |
oct | 3150624660 |
9 | 1088315383 |
10 | 430123440 |
11 | 20088011a |
12 | 10006a040 |
13 | 6b15a816 |
14 | 411a674c |
15 | 27b63eb0 |
hex | 19a329b0 |
430123440 has 80 divisors (see below), whose sum is σ = 1337423328. Its totient is φ = 114352128.
The previous prime is 430123439. The next prime is 430123469. The reversal of 430123440 is 44321034.
It is a tau number, because it is divible by the number of its divisors (80).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82182 + ... + 87258.
Almost surely, 2430123440 is an apocalyptic number.
430123440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 430123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668711664).
430123440 is an abundant number, since it is smaller than the sum of its proper divisors (907299888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
430123440 is a wasteful number, since it uses less digits than its factorization.
430123440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5446 (or 5440 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 21.
The square root of 430123440 is about 20739.4175424480. The cubic root of 430123440 is about 754.8564497632.
Adding to 430123440 its reverse (44321034), we get a palindrome (474444474).
The spelling of 430123440 in words is "four hundred thirty million, one hundred twenty-three thousand, four hundred forty".
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