Base | Representation |
---|---|
bin | 11001101001001… |
… | …000110001100000 |
3 | 1002222112010222202 |
4 | 121221020301200 |
5 | 1340113323430 |
6 | 110404552332 |
7 | 13442521631 |
oct | 3151106140 |
9 | 1088463882 |
10 | 430214240 |
11 | 200932365 |
12 | 1000b26a8 |
13 | 6b18cc51 |
14 | 411cb888 |
15 | 27b80d45 |
hex | 19a48c60 |
430214240 has 96 divisors (see below), whose sum is σ = 1081944864. Its totient is φ = 161095680.
The previous prime is 430214237. The next prime is 430214261. The reversal of 430214240 is 42412034.
430214240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is an unprimeable number.
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, 753155 + ... + 753725.
It is an arithmetic number, because the mean of its divisors is an integer number (11270259).
Almost surely, 2430214240 is an apocalyptic number.
430214240 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 430214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540972432).
430214240 is an abundant number, since it is smaller than the sum of its proper divisors (651730624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
430214240 is a wasteful number, since it uses less digits than its factorization.
430214240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 880 (or 872 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 20.
The square root of 430214240 is about 20741.6064951585. The cubic root of 430214240 is about 754.9095633091.
Adding to 430214240 its reverse (42412034), we get a palindrome (472626274).
The spelling of 430214240 in words is "four hundred thirty million, two hundred fourteen thousand, two hundred forty".
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