| Base | Representation |
|---|---|
| bin | 11000101100111… |
| … | …110111010111000 |
| 3 | 1001212211222222201 |
| 4 | 120230332322320 |
| 5 | 1322044221430 |
| 6 | 105042555544 |
| 7 | 13161504106 |
| oct | 3054767270 |
| 9 | 1055758881 |
| 10 | 414445240 |
| 11 | 1a2a41930 |
| 12 | b6968bb4 |
| 13 | 67b2b591 |
| 14 | 3d084c76 |
| 15 | 265b88ca |
| hex | 18b3eeb8 |
414445240 has 64 divisors (see below), whose sum is σ = 1026898560. Its totient is φ = 149281920.
The previous prime is 414445237. The next prime is 414445243. The reversal of 414445240 is 42544414.
It is an interprime number because it is at equal distance from previous prime (414445237) and next prime (414445243).
It is a junction number, because it is equal to n+sod(n) for n = 414445199 and 414445208.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (414445243) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 42679 + ... + 51481.
It is an arithmetic number, because the mean of its divisors is an integer number (16045290).
Almost surely, 2414445240 is an apocalyptic number.
414445240 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 414445240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513449280).
414445240 is an abundant number, since it is smaller than the sum of its proper divisors (612453320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
414445240 is a wasteful number, since it uses less digits than its factorization.
414445240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8932 (or 8928 counting only the distinct ones).
The product of its (nonzero) digits is 10240, while the sum is 28.
The square root of 414445240 is about 20357.9281853532. The cubic root of 414445240 is about 745.5710769279.
Adding to 414445240 its reverse (42544414), we get a palindrome (456989654).
The spelling of 414445240 in words is "four hundred fourteen million, four hundred forty-five thousand, two hundred forty".
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