Base | Representation |
---|---|
bin | 1101111100110100… |
… | …0000000010000000 |
3 | 100122222100211221211 |
4 | 3133031000002000 |
5 | 30132122232133 |
6 | 1415330255504 |
7 | 161540440630 |
oct | 33715000200 |
9 | 10588324854 |
10 | 3744727168 |
11 | 1651889a46 |
12 | 886127594 |
13 | 478a83cc0 |
14 | 2774a46c0 |
15 | 16db4dbcd |
hex | df340080 |
3744727168 has 128 divisors (see below), whose sum is σ = 9339120000. Its totient is φ = 1456054272.
The previous prime is 3744727163. The next prime is 3744727199. The reversal of 3744727168 is 8617274473.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (128).
It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (3744727163) 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 15 ways as a sum of consecutive naturals, for example, 684508 + ... + 689956.
It is an arithmetic number, because the mean of its divisors is an integer number (72961875).
Almost surely, 23744727168 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 3744727168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4669560000).
3744727168 is an abundant number, since it is smaller than the sum of its proper divisors (5594392832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3744727168 is a wasteful number, since it uses less digits than its factorization.
3744727168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5542 (or 5530 counting only the distinct ones).
The product of its digits is 1580544, while the sum is 49.
The square root of 3744727168 is about 61194.1759320280. The cubic root of 3744727168 is about 1552.8877374182.
The spelling of 3744727168 in words is "three billion, seven hundred forty-four million, seven hundred twenty-seven thousand, one hundred sixty-eight".
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