Base | Representation |
---|---|
bin | 1000100100011001… |
… | …0011101111110100 |
3 | 12221022002211101200 |
4 | 2021012103233310 |
5 | 14202313213330 |
6 | 1020123452500 |
7 | 110666542122 |
oct | 21106235764 |
9 | 5838084350 |
10 | 2300132340 |
11 | a80401520 |
12 | 542387130 |
13 | 2a86c046c |
14 | 17b6a4912 |
15 | d6deaa60 |
hex | 89193bf4 |
2300132340 has 72 divisors (see below), whose sum is σ = 7611353568. Its totient is φ = 557607360.
The previous prime is 2300132297. The next prime is 2300132347. The reversal of 2300132340 is 432310032.
2300132340 is a `hidden beast` number, since 2 + 300 + 1 + 323 + 40 = 666.
2300132340 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2300132347) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 578862 + ... + 582821.
It is an arithmetic number, because the mean of its divisors is an integer number (105713244).
Almost surely, 22300132340 is an apocalyptic number.
2300132340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2300132340 is an abundant number, since it is smaller than the sum of its proper divisors (5311221228).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2300132340 is a wasteful number, since it uses less digits than its factorization.
2300132340 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1161709 (or 1161704 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 2300132340 is about 47959.6949531583. The cubic root of 2300132340 is about 1320.0314386452.
Adding to 2300132340 its reverse (432310032), we get a palindrome (2732442372).
The spelling of 2300132340 in words is "two billion, three hundred million, one hundred thirty-two thousand, three hundred forty".
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