Base | Representation |
---|---|
bin | 1100100101101010100000 |
3 | 20012122202020 |
4 | 30211222200 |
5 | 1321100000 |
6 | 154421440 |
7 | 40022664 |
oct | 14455240 |
9 | 6178666 |
10 | 3300000 |
11 | 1954380 |
12 | 1131880 |
13 | 8b7082 |
14 | 61c8a4 |
15 | 452ba0 |
hex | 325aa0 |
3300000 has 144 divisors (see below), whose sum is σ = 11811744. Its totient is φ = 800000.
The previous prime is 3299969. The next prime is 3300001. The reversal of 3300000 is 33.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a nialpdrome in base 10.
It is a zygodrome in base 10.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3300001) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299995 + ... + 300005.
It is an arithmetic number, because the mean of its divisors is an integer number (82026).
Almost surely, 23300000 is an apocalyptic number.
3300000 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 3300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5905872).
3300000 is an abundant number, since it is smaller than the sum of its proper divisors (8511744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3300000 is an equidigital number, since it uses as much as digits as its factorization.
3300000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 49 (or 21 counting only the distinct ones).
The product of its (nonzero) digits is 9, while the sum is 6.
The square root of 3300000 is about 1816.5902124585. The cubic root of 3300000 is about 148.8805552954.
Adding to 3300000 its reverse (33), we get a palindrome (3300033).
3300000 divided by its reverse (33) gives a 5-th power (100000 = 105).
It can be divided in two parts, 3 and 300000, that added together give a palindrome (300003).
The spelling of 3300000 in words is "three million, three hundred thousand".
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