Base | Representation |
---|---|
bin | 10001001101001… |
… | …11110100110000 |
3 | 101001121100102212 |
4 | 20212213310300 |
5 | 243422423240 |
6 | 22153431252 |
7 | 3401614043 |
oct | 1046476460 |
9 | 331540385 |
10 | 144342320 |
11 | 74528581 |
12 | 4040b528 |
13 | 23b9a975 |
14 | 15254c5a |
15 | ca13165 |
hex | 89a7d30 |
144342320 has 80 divisors (see below), whose sum is σ = 348325920. Its totient is φ = 55590912.
The previous prime is 144342313. The next prime is 144342337. The reversal of 144342320 is 23243441.
It is a tau number, because it is divible by the number of its divisors (80).
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 249872 + ... + 250448.
It is an arithmetic number, because the mean of its divisors is an integer number (4354074).
Almost surely, 2144342320 is an apocalyptic number.
144342320 is a gapful number since it is divisible by the number (10) 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 144342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174162960).
144342320 is an abundant number, since it is smaller than the sum of its proper divisors (203983600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144342320 is a wasteful number, since it uses less digits than its factorization.
144342320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 702 (or 696 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 23.
The square root of 144342320 is about 12014.2548666157. The cubic root of 144342320 is about 524.5632891368.
Adding to 144342320 its reverse (23243441), we get a palindrome (167585761).
The spelling of 144342320 in words is "one hundred forty-four million, three hundred forty-two thousand, three hundred twenty".
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