| Base | Representation |
|---|---|
| bin | 10011000110010… |
| … | …001000110100100 |
| 3 | 211022220111220210 |
| 4 | 103012101012210 |
| 5 | 1124011110040 |
| 6 | 51443255420 |
| 7 | 10640304000 |
| oct | 2306210644 |
| 9 | 738814823 |
| 10 | 320410020 |
| 11 | 154954877 |
| 12 | 8b37a570 |
| 13 | 514c5a38 |
| 14 | 307a7700 |
| 15 | 1d1e1480 |
| hex | 131911a4 |
320410020 has 96 divisors (see below), whose sum is σ = 1046304000. Its totient is φ = 73231872.
The previous prime is 320410019. The next prime is 320410021. The reversal of 320410020 is 20014023.
It is an interprime number because it is at equal distance from previous prime (320410019) and next prime (320410021).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 320409978 and 320410005.
It is not an unprimeable number, because it can be changed into a prime (320410021) by changing a digit.
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, 12796 + ... + 28364.
It is an arithmetic number, because the mean of its divisors is an integer number (10899000).
Almost surely, 2320410020 is an apocalyptic number.
320410020 is a gapful number since it is divisible by the number (30) 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 320410020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523152000).
320410020 is an abundant number, since it is smaller than the sum of its proper divisors (725893980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
320410020 is a wasteful number, since it uses less digits than its factorization.
320410020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15602 (or 15586 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 12.
The square root of 320410020 is about 17900.0005586592. Note that the first 3 decimals coincide. The cubic root of 320410020 is about 684.2823891280.
Adding to 320410020 its reverse (20014023), we get a palindrome (340424043).
The spelling of 320410020 in words is "three hundred twenty million, four hundred ten thousand, twenty".
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