Base | Representation |
---|---|
bin | 1100010010110011… |
… | …1001011101000000 |
3 | 22111222201122122002 |
4 | 3010230321131000 |
5 | 23224311312000 |
6 | 1303244403132 |
7 | 144531264314 |
oct | 30454713500 |
9 | 8458648562 |
10 | 3300104000 |
11 | 1443905a86 |
12 | 7812464a8 |
13 | 40791a77b |
14 | 234405b44 |
15 | 144ac38d5 |
hex | c4b39740 |
3300104000 has 112 divisors (see below), whose sum is σ = 8394344400. Its totient is φ = 1284249600.
The previous prime is 3300103991. The next prime is 3300104011. The reversal of 3300104000 is 4010033.
It can be written as a sum of positive squares in 8 ways, for example, as 699919936 + 2600184064 = 26456^2 + 50992^2 .
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290426 + ... + 301574.
Almost surely, 23300104000 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 3300104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4197172200).
3300104000 is an abundant number, since it is smaller than the sum of its proper divisors (5094240400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3300104000 is a wasteful number, since it uses less digits than its factorization.
3300104000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11213 (or 11193 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 11.
The square root of 3300104000 is about 57446.5316620595. The cubic root of 3300104000 is about 1488.8211927671.
Adding to 3300104000 its reverse (4010033), we get a palindrome (3304114033).
The spelling of 3300104000 in words is "three billion, three hundred million, one hundred four thousand".
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