Base | Representation |
---|---|
bin | 111100111111100… |
… | …101001011100000 |
3 | 2122022112001010212 |
4 | 330333211023200 |
5 | 4043431102240 |
6 | 245312513252 |
7 | 34233623600 |
oct | 7477451340 |
9 | 2568461125 |
10 | 1023300320 |
11 | 485698749 |
12 | 24684b828 |
13 | 134007863 |
14 | 99c94c00 |
15 | 5ec85165 |
hex | 3cfe52e0 |
1023300320 has 72 divisors (see below), whose sum is σ = 2812270104. Its totient is φ = 350843136.
The previous prime is 1023300253. The next prime is 1023300353. The reversal of 1023300320 is 230033201.
It is a Harshad number since it is a multiple of its sum of digits (14).
It is a junction number, because it is equal to n+sod(n) for n = 1023300295 and 1023300304.
It is a congruent number.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 57422 + ... + 73101.
It is an arithmetic number, because the mean of its divisors is an integer number (39059307).
Almost surely, 21023300320 is an apocalyptic number.
1023300320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
1023300320 is an abundant number, since it is smaller than the sum of its proper divisors (1788969784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023300320 is a wasteful number, since it uses less digits than its factorization.
1023300320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 130552 (or 130537 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 14.
The square root of 1023300320 is about 31989.0656318686. The cubic root of 1023300320 is about 1007.7072194949.
Adding to 1023300320 its reverse (230033201), we get a palindrome (1253333521).
The spelling of 1023300320 in words is "one billion, twenty-three million, three hundred thousand, three hundred twenty".
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