Base | Representation |
---|---|
bin | 1100000000100011010000 |
3 | 12220221020000 |
4 | 30000203100 |
5 | 1301213414 |
6 | 151250000 |
7 | 35520540 |
oct | 14004320 |
9 | 5827200 |
10 | 3147984 |
11 | 1860144 |
12 | 1079900 |
13 | 862b18 |
14 | 5bd320 |
15 | 422b09 |
hex | 3008d0 |
3147984 has 100 divisors (see below), whose sum is σ = 10442784. Its totient is φ = 896832.
The previous prime is 3147983. The next prime is 3148001. The reversal of 3147984 is 4897413.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3147983) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8899 + ... + 9245.
Almost surely, 23147984 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 3147984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5221392).
3147984 is an abundant number, since it is smaller than the sum of its proper divisors (7294800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3147984 is a wasteful number, since it uses less digits than its factorization.
3147984 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 374 (or 359 counting only the distinct ones).
The product of its digits is 24192, while the sum is 36.
The square root of 3147984 is about 1774.2559003706. The cubic root of 3147984 is about 146.5584417402.
The spelling of 3147984 in words is "three million, one hundred forty-seven thousand, nine hundred eighty-four".
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