Base | Representation |
---|---|
bin | 1100000000110011001000 |
3 | 12220222121122 |
4 | 30000303020 |
5 | 1301232000 |
6 | 151254412 |
7 | 35523521 |
oct | 14006310 |
9 | 5828548 |
10 | 3149000 |
11 | 1860988 |
12 | 107a408 |
13 | 86341a |
14 | 5bd848 |
15 | 423085 |
hex | 300cc8 |
3149000 has 64 divisors (see below), whose sum is σ = 7637760. Its totient is φ = 1214400.
The previous prime is 3148993. The next prime is 3149009. The reversal of 3149000 is 9413.
It is a self number, because there is not a number n which added to its sum of digits gives 3149000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3149009) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46967 + ... + 47033.
It is an arithmetic number, because the mean of its divisors is an integer number (119340).
Almost surely, 23149000 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 3149000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818880).
3149000 is an abundant number, since it is smaller than the sum of its proper divisors (4488760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3149000 is a wasteful number, since it uses less digits than its factorization.
3149000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 135 (or 121 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 17.
The square root of 3149000 is about 1774.5421944828. The cubic root of 3149000 is about 146.5742071063.
The spelling of 3149000 in words is "three million, one hundred forty-nine thousand".
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