Base | Representation |
---|---|
bin | 11001101010010… |
… | …100001010100000 |
3 | 1010000002211120210 |
4 | 121222110022200 |
5 | 1340203214130 |
6 | 110415334120 |
7 | 13445246133 |
oct | 3152241240 |
9 | 1100084523 |
10 | 430523040 |
11 | 201023372 |
12 | 100221340 |
13 | 6b26a67c |
14 | 4126c21a |
15 | 27be25b0 |
hex | 19a942a0 |
430523040 has 96 divisors (see below), whose sum is σ = 1399942656. Its totient is φ = 111098880.
The previous prime is 430523029. The next prime is 430523047. The reversal of 430523040 is 40325034.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a junction number, because it is equal to n+sod(n) for n = 430522998 and 430523016.
It is not an unprimeable number, because it can be changed into a prime (430523047) 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 15 ways as a sum of consecutive naturals, for example, 414 + ... + 29346.
It is an arithmetic number, because the mean of its divisors is an integer number (14582736).
Almost surely, 2430523040 is an apocalyptic number.
430523040 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 430523040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699971328).
430523040 is an abundant number, since it is smaller than the sum of its proper divisors (969419616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
430523040 is a wasteful number, since it uses less digits than its factorization.
430523040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 28982 (or 28974 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 21.
The square root of 430523040 is about 20749.0491348399. The cubic root of 430523040 is about 755.0901402544.
Adding to 430523040 its reverse (40325034), we get a palindrome (470848074).
The spelling of 430523040 in words is "four hundred thirty million, five hundred twenty-three thousand, forty".
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