Base | Representation |
---|---|
bin | 1001010010011001010000 |
3 | 11120200200212 |
4 | 21102121100 |
5 | 1110402030 |
6 | 124103252 |
7 | 26460035 |
oct | 11223120 |
9 | 4520625 |
10 | 2434640 |
11 | 14131aa |
12 | 994b28 |
13 | 673220 |
14 | 47538c |
15 | 331595 |
hex | 252650 |
2434640 has 40 divisors (see below), whose sum is σ = 6098568. Its totient is φ = 898560.
The previous prime is 2434613. The next prime is 2434657. The reversal of 2434640 is 464342.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 99856 + 2334784 = 316^2 + 1528^2 .
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, 131 + ... + 2210.
22434640 is an apocalyptic number.
2434640 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 2434640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049284).
2434640 is an abundant number, since it is smaller than the sum of its proper divisors (3663928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2434640 is a wasteful number, since it uses less digits than its factorization.
2434640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2367 (or 2361 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 23.
The square root of 2434640 is about 1560.3332977284. Note that the first 3 decimals coincide. The cubic root of 2434640 is about 134.5276588456.
Adding to 2434640 its reverse (464342), we get a palindrome (2898982).
The spelling of 2434640 in words is "two million, four hundred thirty-four thousand, six hundred forty".
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