Base | Representation |
---|---|
bin | 1000100101010110… |
… | …0110110001010000 |
3 | 12221120122120012000 |
4 | 2021111212301100 |
5 | 14204330024131 |
6 | 1020345434000 |
7 | 111045613242 |
oct | 21125466120 |
9 | 5846576160 |
10 | 2304142416 |
11 | a826a0334 |
12 | 54379b900 |
13 | 2a94957a4 |
14 | 17c02a092 |
15 | d743dce6 |
hex | 89566c50 |
2304142416 has 160 divisors (see below), whose sum is σ = 6749568000. Its totient is φ = 752452992.
The previous prime is 2304142411. The next prime is 2304142427. The reversal of 2304142416 is 6142414032.
It is a happy number.
2304142416 is a `hidden beast` number, since 2 + 3 + 0 + 414 + 241 + 6 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a self number, because there is not a number n which added to its sum of digits gives 2304142416.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2304142411) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6418045 + ... + 6418403.
It is an arithmetic number, because the mean of its divisors is an integer number (42184800).
Almost surely, 22304142416 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 2304142416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374784000).
2304142416 is an abundant number, since it is smaller than the sum of its proper divisors (4445425584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2304142416 is a wasteful number, since it uses less digits than its factorization.
2304142416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 638 (or 626 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The square root of 2304142416 is about 48001.4834770760. The cubic root of 2304142416 is about 1320.7981123809.
Adding to 2304142416 its reverse (6142414032), we get a palindrome (8446556448).
The spelling of 2304142416 in words is "two billion, three hundred four million, one hundred forty-two thousand, four hundred sixteen".
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