Base | Representation |
---|---|
bin | 11001101001010… |
… | …110111000000001 |
3 | 1002222122002020001 |
4 | 121221112320001 |
5 | 1340122201001 |
6 | 110410120001 |
7 | 13443152215 |
oct | 3151267001 |
9 | 1088562201 |
10 | 430272001 |
11 | 2009717a5 |
12 | 100120001 |
13 | 6b1b0323 |
14 | 41204945 |
15 | 27b93001 |
hex | 19a56e01 |
430272001 has 16 divisors (see below), whose sum is σ = 450493648. Its totient is φ = 410572800.
The previous prime is 430271983. The next prime is 430272047. The reversal of 430272001 is 100272034.
It can be written as a sum of positive squares in 8 ways, for example, as 117831025 + 312440976 = 10855^2 + 17676^2 .
It is a cyclic number.
It is not a de Polignac number, because 430272001 - 25 = 430271969 is a prime.
It is a self number, because there is not a number n which added to its sum of digits gives 430272001.
It is not an unprimeable number, because it can be changed into a prime (430272071) by changing a digit.
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, 650611 + ... + 651271.
It is an arithmetic number, because the mean of its divisors is an integer number (28155853).
Almost surely, 2430272001 is an apocalyptic number.
It is an amenable number.
430272001 is a deficient number, since it is larger than the sum of its proper divisors (20221647).
430272001 is a wasteful number, since it uses less digits than its factorization.
430272001 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1012.
The product of its (nonzero) digits is 336, while the sum is 19.
The square root of 430272001 is about 20742.9988429831. The cubic root of 430272001 is about 754.9433467716.
The spelling of 430272001 in words is "four hundred thirty million, two hundred seventy-two thousand, one".
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