Base | Representation |
---|---|
bin | 10001001101001… |
… | …11010101100000 |
3 | 101001121020200210 |
4 | 20212213111200 |
5 | 243422342240 |
6 | 22153414120 |
7 | 3401605155 |
oct | 1046472540 |
9 | 331536623 |
10 | 144340320 |
11 | 74527023 |
12 | 4040a340 |
13 | 23b99a97 |
14 | 1525422c |
15 | ca12780 |
hex | 89a7560 |
144340320 has 96 divisors (see below), whose sum is σ = 460276992. Its totient is φ = 38016512.
The previous prime is 144340223. The next prime is 144340327. The reversal of 144340320 is 23043441.
It is a tau number, because it is divible by the number of its divisors (96).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144340327) 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, 38029 + ... + 41651.
It is an arithmetic number, because the mean of its divisors is an integer number (4794552).
Almost surely, 2144340320 is an apocalyptic number.
144340320 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 144340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230138496).
144340320 is an abundant number, since it is smaller than the sum of its proper divisors (315936672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144340320 is a wasteful number, since it uses less digits than its factorization.
144340320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3724 (or 3716 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 21.
The square root of 144340320 is about 12014.1716318688. The cubic root of 144340320 is about 524.5608663513.
Adding to 144340320 its reverse (23043441), we get a palindrome (167383761).
The spelling of 144340320 in words is "one hundred forty-four million, three hundred forty thousand, three hundred twenty".
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