| Base | Representation |
|---|---|
| bin | 1100110101001101… |
| … | …0110110011110000 |
| 3 | 22220001020211020210 |
| 4 | 3031103112303300 |
| 5 | 24023231402230 |
| 6 | 1325441304120 |
| 7 | 151232642352 |
| oct | 31523266360 |
| 9 | 8801224223 |
| 10 | 3444403440 |
| 11 | 1508304315 |
| 12 | 801635040 |
| 13 | 42b7a1a5a |
| 14 | 2496490d2 |
| 15 | 1525c8eb0 |
| hex | cd4d6cf0 |
3444403440 has 160 divisors (see below), whose sum is σ = 10999296000. Its totient is φ = 891095040.
The previous prime is 3444403423. The next prime is 3444403441. The reversal of 3444403440 is 443044443.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 3444403398 and 3444403407.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3444403441) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1957281 + ... + 1959039.
It is an arithmetic number, because the mean of its divisors is an integer number (68745600).
Almost surely, 23444403440 is an apocalyptic number.
3444403440 is a gapful number since it is divisible by the number (30) 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 3444403440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499648000).
3444403440 is an abundant number, since it is smaller than the sum of its proper divisors (7554892560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3444403440 is a wasteful number, since it uses less digits than its factorization.
3444403440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2015 (or 2009 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 30.
The square root of 3444403440 is about 58689.0402034315. The cubic root of 3444403440 is about 1510.2123058647.
Adding to 3444403440 its reverse (443044443), we get a palindrome (3887447883).
The spelling of 3444403440 in words is "three billion, four hundred forty-four million, four hundred three thousand, four hundred forty".
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