| Base | Representation |
|---|---|
| bin | 1000101111001011… |
| … | …0001001000000000 |
| 3 | 20001110011200121210 |
| 4 | 2023302301020000 |
| 5 | 14300401411230 |
| 6 | 1024420450120 |
| 7 | 112056034101 |
| oct | 21362611000 |
| 9 | 6043150553 |
| 10 | 2345341440 |
| 11 | aa397a812 |
| 12 | 555549940 |
| 13 | 2b4b8c000 |
| 14 | 1836b23a8 |
| 15 | dad7aeb0 |
| hex | 8bcb1200 |
2345341440 has 320 divisors, whose sum is σ = 8180726400. Its totient is φ = 573161472.
The previous prime is 2345341433. The next prime is 2345341457. The reversal of 2345341440 is 441435432.
It is a tau number, because it is divible by the number of its divisors (320).
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 = 2345341398 and 2345341407.
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 31 ways as a sum of consecutive naturals, for example, 16872891 + ... + 16873029.
It is an arithmetic number, because the mean of its divisors is an integer number (25564770).
Almost surely, 22345341440 is an apocalyptic number.
2345341440 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 2345341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4090363200).
2345341440 is an abundant number, since it is smaller than the sum of its proper divisors (5835384960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2345341440 is an equidigital number, since it uses as much as digits as its factorization.
2345341440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 204 (or 162 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 30.
The square root of 2345341440 is about 48428.7253600588. The cubic root of 2345341440 is about 1328.6237936515.
Adding to 2345341440 its reverse (441435432), we get a palindrome (2786776872).
The spelling of 2345341440 in words is "two billion, three hundred forty-five million, three hundred forty-one thousand, four hundred forty".
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