Base | Representation |
---|---|
bin | 1000000101100010… |
… | …01111110010000000 |
3 | 102012120011120022110 |
4 | 10002301033302000 |
5 | 32342401301144 |
6 | 1554443535320 |
7 | 212404362321 |
oct | 40261176200 |
9 | 12176146273 |
10 | 4341431424 |
11 | 1928696760 |
12 | a11b2a540 |
13 | 542597745 |
14 | 2d2830448 |
15 | 1a621a0b9 |
hex | 102c4fc80 |
4341431424 has 128 divisors (see below), whose sum is σ = 13127546880. Its totient is φ = 1258357760.
The previous prime is 4341431387. The next prime is 4341431441. The reversal of 4341431424 is 4241341434.
It is a tau number, because it is divible by the number of its divisors (128).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 4341431391 and 4341431400.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74809 + ... + 119495.
It is an arithmetic number, because the mean of its divisors is an integer number (102558960).
Almost surely, 24341431424 is an apocalyptic number.
4341431424 is a gapful number since it is divisible by the number (44) 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 4341431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6563773440).
4341431424 is an abundant number, since it is smaller than the sum of its proper divisors (8786115456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4341431424 is a wasteful number, since it uses less digits than its factorization.
4341431424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 44738 (or 44726 counting only the distinct ones).
The product of its digits is 18432, while the sum is 30.
The square root of 4341431424 is about 65889.5395643345. The cubic root of 4341431424 is about 1631.3393615966.
Adding to 4341431424 its reverse (4241341434), we get a palindrome (8582772858).
The spelling of 4341431424 in words is "four billion, three hundred forty-one million, four hundred thirty-one thousand, four hundred twenty-four".
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