Base | Representation |
---|---|
bin | 1000100100111011… |
… | …1111111010110100 |
3 | 12221110101120100000 |
4 | 2021032333322310 |
5 | 14203404113140 |
6 | 1020244351300 |
7 | 111025110552 |
oct | 21116777264 |
9 | 5843346300 |
10 | 2302410420 |
11 | a81718032 |
12 | 5430a5530 |
13 | 2a900a33b |
14 | 17bad8bd2 |
15 | d71eaa30 |
hex | 893bfeb4 |
2302410420 has 144 divisors (see below), whose sum is σ = 7325398080. Its totient is φ = 606963456.
The previous prime is 2302410389. The next prime is 2302410421. The reversal of 2302410420 is 240142032.
2302410420 is a `hidden beast` number, since 2 + 3 + 0 + 241 + 0 + 420 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2302410393 and 2302410402.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2302410421) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 429879 + ... + 435201.
It is an arithmetic number, because the mean of its divisors is an integer number (50870820).
Almost surely, 22302410420 is an apocalyptic number.
2302410420 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 2302410420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662699040).
2302410420 is an abundant number, since it is smaller than the sum of its proper divisors (5022987660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2302410420 is a wasteful number, since it uses less digits than its factorization.
2302410420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5436 (or 5422 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 2302410420 is about 47983.4390180612. The cubic root of 2302410420 is about 1320.4670867663.
Adding to 2302410420 its reverse (240142032), we get a palindrome (2542552452).
The spelling of 2302410420 in words is "two billion, three hundred two million, four hundred ten thousand, four hundred twenty".
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