| Base | Representation |
|---|---|
| bin | 1100010010110011… |
| … | …1001010100010000 |
| 3 | 22111222201121212100 |
| 4 | 3010230321110100 |
| 5 | 23224311302230 |
| 6 | 1303244400400 |
| 7 | 144531262554 |
| oct | 30454712420 |
| 9 | 8458647770 |
| 10 | 3300103440 |
| 11 | 1443905617 |
| 12 | 781246100 |
| 13 | 40791a43a |
| 14 | 234405864 |
| 15 | 144ac3660 |
| hex | c4b39510 |
3300103440 has 120 divisors (see below), whose sum is σ = 11094122520. Its totient is φ = 879132672.
The previous prime is 3300103421. The next prime is 3300103453. The reversal of 3300103440 is 443010033.
It can be written as a sum of positive squares in 4 ways, for example, as 373726224 + 2926377216 = 19332^2 + 54096^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1012854 + ... + 1016106.
It is an arithmetic number, because the mean of its divisors is an integer number (92451021).
Almost surely, 23300103440 is an apocalyptic number.
3300103440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3300103440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5547061260).
3300103440 is an abundant number, since it is smaller than the sum of its proper divisors (7794019080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3300103440 is a wasteful number, since it uses less digits than its factorization.
3300103440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4681 (or 4672 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 3300103440 is about 57446.5267879617. The cubic root of 3300103440 is about 1488.8211085536.
Adding to 3300103440 its reverse (443010033), we get a palindrome (3743113473).
The spelling of 3300103440 in words is "three billion, three hundred million, one hundred three thousand, four hundred forty".
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