Base | Representation |
---|---|
bin | 100111011100010… |
… | …0001100000010000 |
3 | 10102020021201120122 |
4 | 1032320201200100 |
5 | 10202300041034 |
6 | 335153525412 |
7 | 44540025035 |
oct | 11670414020 |
9 | 3366251518 |
10 | 1323440144 |
11 | 61a058194 |
12 | 30b273868 |
13 | 1812541a0 |
14 | c7aa338c |
15 | 7b2c062e |
hex | 4ee21810 |
1323440144 has 40 divisors (see below), whose sum is σ = 2776744152. Its totient is φ = 607426560.
The previous prime is 1323440137. The next prime is 1323440149. The reversal of 1323440144 is 4410443231.
It can be written as a sum of positive squares in 4 ways, for example, as 305830144 + 1017610000 = 17488^2 + 31900^2 .
It is a Harshad number since it is a multiple of its sum of digits (26).
It is not an unprimeable number, because it can be changed into a prime (1323440149) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20072 + ... + 55224.
Almost surely, 21323440144 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 1323440144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388372076).
1323440144 is an abundant number, since it is smaller than the sum of its proper divisors (1453304008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1323440144 is a wasteful number, since it uses less digits than its factorization.
1323440144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 35355 (or 35349 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 26.
The square root of 1323440144 is about 36379.1168666860. The cubic root of 1323440144 is about 1097.9134396036.
Adding to 1323440144 its reverse (4410443231), we get a palindrome (5733883375).
The spelling of 1323440144 in words is "one billion, three hundred twenty-three million, four hundred forty thousand, one hundred forty-four".
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