Base | Representation |
---|---|
bin | 1100110100011001010000 |
3 | 20022201111220 |
4 | 30310121100 |
5 | 1330012321 |
6 | 200005040 |
7 | 40363620 |
oct | 14643120 |
9 | 6281456 |
10 | 3360336 |
11 | 1995741 |
12 | 1160780 |
13 | 908685 |
14 | 636880 |
15 | 4659c6 |
hex | 334650 |
3360336 has 80 divisors (see below), whose sum is σ = 10130304. Its totient is φ = 940032.
The previous prime is 3360299. The next prime is 3360337. The reversal of 3360336 is 6330633.
It is a super-3 number, since 3×33603363 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3360337) 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, 24460 + ... + 24596.
Almost surely, 23360336 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 3360336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5065152).
3360336 is an abundant number, since it is smaller than the sum of its proper divisors (6769968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3360336 is a wasteful number, since it uses less digits than its factorization.
3360336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 228 (or 222 counting only the distinct ones).
The product of its (nonzero) digits is 2916, while the sum is 24.
The square root of 3360336 is about 1833.1219272051. The cubic root of 3360336 is about 149.7824401596.
Adding to 3360336 its reverse (6330633), we get a palindrome (9690969).
The spelling of 3360336 in words is "three million, three hundred sixty thousand, three hundred thirty-six".
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