Base | Representation |
---|---|
bin | 10100010001011… |
… | …111111001110000 |
3 | 212201000110121202 |
4 | 110101133321300 |
5 | 1144033201230 |
6 | 53430110332 |
7 | 11300032565 |
oct | 2421377160 |
9 | 781013552 |
10 | 340131440 |
11 | 164aa4870 |
12 | 95aab3a8 |
13 | 5560c40c |
14 | 3325c86c |
15 | 1ecd9a45 |
hex | 1445fe70 |
340131440 has 80 divisors (see below), whose sum is σ = 866194560. Its totient is φ = 123183360.
The previous prime is 340131437. The next prime is 340131443. The reversal of 340131440 is 44131043.
It is a happy number.
340131440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (340131437) and next prime (340131443).
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (340131443) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269531 + ... + 270789.
It is an arithmetic number, because the mean of its divisors is an integer number (10827432).
Almost surely, 2340131440 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 340131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433097280).
340131440 is an abundant number, since it is smaller than the sum of its proper divisors (526063120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
340131440 is a wasteful number, since it uses less digits than its factorization.
340131440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1590 (or 1584 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
The square root of 340131440 is about 18442.6527376080. The cubic root of 340131440 is about 698.0431332693.
Adding to 340131440 its reverse (44131043), we get a palindrome (384262483).
It can be divided in two parts, 34013 and 1440, that added together give a palindrome (35453).
The spelling of 340131440 in words is "three hundred forty million, one hundred thirty-one thousand, four hundred forty".
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