Base | Representation |
---|---|
bin | 11001101011111… |
… | …111111000100000 |
3 | 1010000221020211010 |
4 | 121223333320200 |
5 | 1340311324011 |
6 | 110433020520 |
7 | 13452064362 |
oct | 3153777040 |
9 | 1100836733 |
10 | 430964256 |
11 | 2012a4908 |
12 | 1003b4740 |
13 | 6b393448 |
14 | 41344d32 |
15 | 27c7d1a6 |
hex | 19affe20 |
430964256 has 48 divisors (see below), whose sum is σ = 1136195424. Its totient is φ = 143030784.
The previous prime is 430964203. The next prime is 430964293. The reversal of 430964256 is 652469034.
It is a tau number, because it is divible by the number of its divisors (48).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12735 + ... + 32001.
It is an arithmetic number, because the mean of its divisors is an integer number (23670738).
Almost surely, 2430964256 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 430964256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568097712).
430964256 is an abundant number, since it is smaller than the sum of its proper divisors (705231168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
430964256 is a wasteful number, since it uses less digits than its factorization.
430964256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19513 (or 19505 counting only the distinct ones).
The product of its (nonzero) digits is 155520, while the sum is 39.
The square root of 430964256 is about 20759.6786102290. The cubic root of 430964256 is about 755.3480003256.
The spelling of 430964256 in words is "four hundred thirty million, nine hundred sixty-four thousand, two hundred fifty-six".
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