Base | Representation |
---|---|
bin | 1011001100000000… |
… | …0000001010010000 |
3 | 21202021220102100121 |
4 | 2303000000022100 |
5 | 22122244403240 |
6 | 1213555200024 |
7 | 134264055442 |
oct | 26300001220 |
9 | 7667812317 |
10 | 3003122320 |
11 | 1301203280 |
12 | 6b98a6014 |
13 | 38b238773 |
14 | 206bba492 |
15 | 1289ae04a |
hex | b3000290 |
3003122320 has 80 divisors (see below), whose sum is σ = 7642046592. Its totient is φ = 1088455680.
The previous prime is 3003122299. The next prime is 3003122323. The reversal of 3003122320 is 232213003.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 3003122294 and 3003122303.
It is not an unprimeable number, because it can be changed into a prime (3003122323) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269989 + ... + 280891.
Almost surely, 23003122320 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3003122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821023296).
3003122320 is an abundant number, since it is smaller than the sum of its proper divisors (4638924272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3003122320 is a wasteful number, since it uses less digits than its factorization.
3003122320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11240 (or 11234 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 16.
The square root of 3003122320 is about 54800.7510897433. The cubic root of 3003122320 is about 1442.7497484544.
Adding to 3003122320 its reverse (232213003), we get a palindrome (3235335323).
It can be divided in two parts, 3003 and 122320, that multiplied together give a triangular number (367326960 = T27104).
The spelling of 3003122320 in words is "three billion, three million, one hundred twenty-two thousand, three hundred twenty".
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