Base | Representation |
---|---|
bin | 1100101101000100111000 |
3 | 20021012101200 |
4 | 30231010320 |
5 | 1323032420 |
6 | 155214200 |
7 | 40210335 |
oct | 14550470 |
9 | 6235350 |
10 | 3330360 |
11 | 1975170 |
12 | 1147360 |
13 | 8c7b37 |
14 | 62998c |
15 | 45bb90 |
hex | 32d138 |
3330360 has 144 divisors (see below), whose sum is σ = 12228840. Its totient is φ = 779520.
The previous prime is 3330323. The next prime is 3330391. The reversal of 3330360 is 630333.
It is a super-2 number, since 2×33303602 = 22182595459200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 114826 + ... + 114854.
Almost surely, 23330360 is an apocalyptic number.
3330360 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 3330360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114420).
3330360 is an abundant number, since it is smaller than the sum of its proper divisors (8898480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3330360 is a wasteful number, since it uses less digits than its factorization.
3330360 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 86 (or 50 counting only the distinct ones).
The product of its (nonzero) digits is 486, while the sum is 18.
The square root of 3330360 is about 1824.9273958161. The cubic root of 3330360 is about 149.3357293054.
Adding to 3330360 its reverse (630333), we get a palindrome (3960693).
The spelling of 3330360 in words is "three million, three hundred thirty thousand, three hundred sixty".
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