| Base | Representation |
|---|---|
| bin | 1001000100010101… |
| … | …1100101101100000 |
| 3 | 20021122020100021110 |
| 4 | 2101011130231200 |
| 5 | 14441113442030 |
| 6 | 1041311423320 |
| 7 | 114214501203 |
| oct | 22105345540 |
| 9 | 6248210243 |
| 10 | 2434124640 |
| 11 | 1039aaa962 |
| 12 | 57b224b40 |
| 13 | 2ca3a614c |
| 14 | 1913c393a |
| 15 | e3a671b0 |
| hex | 9115cb60 |
2434124640 has 192 divisors, whose sum is σ = 7873479936. Its totient is φ = 631867392.
The previous prime is 2434124639. The next prime is 2434124647. The reversal of 2434124640 is 464214342.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 2434124598 and 2434124607.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2434124647) 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 31 ways as a sum of consecutive naturals, for example, 4146427 + ... + 4147013.
It is an arithmetic number, because the mean of its divisors is an integer number (41007708).
Almost surely, 22434124640 is an apocalyptic number.
2434124640 is a gapful number since it is divisible by the number (20) 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 2434124640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936739968).
2434124640 is an abundant number, since it is smaller than the sum of its proper divisors (5439355296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2434124640 is a wasteful number, since it uses less digits than its factorization.
2434124640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 821 (or 813 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 30.
The square root of 2434124640 is about 49336.8487035806. The cubic root of 2434124640 is about 1345.1816598882.
Adding to 2434124640 its reverse (464214342), we get a palindrome (2898338982).
The spelling of 2434124640 in words is "two billion, four hundred thirty-four million, one hundred twenty-four thousand, six hundred forty".
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