Base | Representation |
---|---|
bin | 1011111011111111… |
… | …0100001111111010 |
3 | 22021022122101121000 |
4 | 2332333310033322 |
5 | 23030311300442 |
6 | 1245545225430 |
7 | 142256644260 |
oct | 27677641772 |
9 | 8238571530 |
10 | 3204400122 |
11 | 13a4889270 |
12 | 755192276 |
13 | 3c0b4c561 |
14 | 225812430 |
15 | 13b4bbd4c |
hex | beff43fa |
3204400122 has 256 divisors, whose sum is σ = 9555148800. Its totient is φ = 770834880.
The previous prime is 3204400117. The next prime is 3204400123. The reversal of 3204400122 is 2210044023.
It is a super-2 number, since 2×32044001222 = 20536360283747229768, which contains 22 as substring.
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 = 3204400095 and 3204400104.
It is not an unprimeable number, because it can be changed into a prime (3204400123) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3712663 + ... + 3713525.
It is an arithmetic number, because the mean of its divisors is an integer number (37324800).
Almost surely, 23204400122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3204400122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4777574400).
3204400122 is an abundant number, since it is smaller than the sum of its proper divisors (6350748678).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3204400122 is a wasteful number, since it uses less digits than its factorization.
3204400122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 958 (or 952 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 3204400122 is about 56607.4210859318. The cubic root of 3204400122 is about 1474.2877146162.
Adding to 3204400122 its reverse (2210044023), we get a palindrome (5414444145).
It can be divided in two parts, 32044001 and 22, that added together give a palindrome (32044023).
The spelling of 3204400122 in words is "three billion, two hundred four million, four hundred thousand, one hundred twenty-two".
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