Base | Representation |
---|---|
bin | 1100000100100000… |
… | …0101001010101000 |
3 | 22100210212012102111 |
4 | 3001020011022220 |
5 | 23113432333000 |
6 | 1253303012104 |
7 | 143202400624 |
oct | 30110051250 |
9 | 8323765374 |
10 | 3240121000 |
11 | 1412a66956 |
12 | 76513a034 |
13 | 3c837847c |
14 | 22a470184 |
15 | 13e6c5cba |
hex | c12052a8 |
3240121000 has 64 divisors (see below), whose sum is σ = 7615530000. Its totient is φ = 1290297600.
The previous prime is 3240120943. The next prime is 3240121007. The reversal of 3240121000 is 1210423.
It can be written as a sum of positive squares in 8 ways, for example, as 1364711364 + 1875409636 = 36942^2 + 43306^2 .
It is a super-4 number, since 4×32401210004 (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.
It is not an unprimeable number, because it can be changed into a prime (3240121007) 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, 221926 + ... + 236074.
Almost surely, 23240121000 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 3240121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3807765000).
3240121000 is an abundant number, since it is smaller than the sum of its proper divisors (4375409000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3240121000 is a wasteful number, since it uses less digits than its factorization.
3240121000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 14399 (or 14385 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 13.
The square root of 3240121000 is about 56922.0607497656. The cubic root of 3240121000 is about 1479.7456648419.
Adding to 3240121000 its reverse (1210423), we get a palindrome (3241331423).
It can be divided in two parts, 3240 and 121000, that multiplied together give a square (392040000 = 198002).
The spelling of 3240121000 in words is "three billion, two hundred forty million, one hundred twenty-one thousand".
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