Base | Representation |
---|---|
bin | 100111101001100… |
… | …1100100011100000 |
3 | 10102201102221220120 |
4 | 1033103030203200 |
5 | 10211042312344 |
6 | 340003440240 |
7 | 44653326102 |
oct | 11723144340 |
9 | 3381387816 |
10 | 1330432224 |
11 | 622aa3470 |
12 | 311686080 |
13 | 182831904 |
14 | c89a3572 |
15 | 7bc02219 |
hex | 4f4cc8e0 |
1330432224 has 96 divisors (see below), whose sum is σ = 3824755200. Its totient is φ = 401587200.
The previous prime is 1330432163. The next prime is 1330432237. The reversal of 1330432224 is 4222340331.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 1330432194 and 1330432203.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283852 + ... + 288500.
It is an arithmetic number, because the mean of its divisors is an integer number (39841200).
Almost surely, 21330432224 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 1330432224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912377600).
1330432224 is an abundant number, since it is smaller than the sum of its proper divisors (2494322976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1330432224 is a wasteful number, since it uses less digits than its factorization.
1330432224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4944 (or 4936 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 24.
The square root of 1330432224 is about 36475.0904591065. The cubic root of 1330432224 is about 1099.8435656328.
Adding to 1330432224 its reverse (4222340331), we get a palindrome (5552772555).
The spelling of 1330432224 in words is "one billion, three hundred thirty million, four hundred thirty-two thousand, two hundred twenty-four".
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