Base | Representation |
---|---|
bin | 1000111100101011010000 |
3 | 11102011200001 |
4 | 20330223100 |
5 | 1100030210 |
6 | 122135344 |
7 | 25636501 |
oct | 10745320 |
9 | 4364601 |
10 | 2345680 |
11 | 1362387 |
12 | 951554 |
13 | 64189c |
14 | 450ba8 |
15 | 31503a |
hex | 23cad0 |
2345680 has 40 divisors (see below), whose sum is σ = 5524200. Its totient is φ = 926208.
The previous prime is 2345669. The next prime is 2345699. The reversal of 2345680 is 865432.
It can be written as a sum of positive squares in 4 ways, for example, as 59536 + 2286144 = 244^2 + 1512^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8586 + ... + 8854.
It is an arithmetic number, because the mean of its divisors is an integer number (138105).
22345680 is an apocalyptic number.
2345680 is a gapful number since it is divisible by the number (20) 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 2345680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762100).
2345680 is an abundant number, since it is smaller than the sum of its proper divisors (3178520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2345680 is a wasteful number, since it uses less digits than its factorization.
2345680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 391 (or 385 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 28.
The square root of 2345680 is about 1531.5612948883. The cubic root of 2345680 is about 132.8687721405.
It can be divided in two parts, 2345 and 680, that added together give a square (3025 = 552).
The spelling of 2345680 in words is "two million, three hundred forty-five thousand, six hundred eighty".
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