Base | Representation |
---|---|
bin | 1100110101000111… |
… | …1011101011000000 |
3 | 22220000112212012000 |
4 | 3031101323223000 |
5 | 24023132431034 |
6 | 1325425304000 |
7 | 151226526132 |
oct | 31521735300 |
9 | 8800485160 |
10 | 3444030144 |
11 | 1508079905 |
12 | 801495000 |
13 | 42b6a0b79 |
14 | 24958d052 |
15 | 152553599 |
hex | cd47bac0 |
3444030144 has 112 divisors (see below), whose sum is σ = 10144902240. Its totient is φ = 1145733120.
The previous prime is 3444030133. The next prime is 3444030151. The reversal of 3444030144 is 4410304443.
3444030144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×34440301442 = 23722687265561321472, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
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, 1023024 + ... + 1026384.
Almost surely, 23444030144 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 3444030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5072451120).
3444030144 is an abundant number, since it is smaller than the sum of its proper divisors (6700872096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3444030144 is a wasteful number, since it uses less digits than its factorization.
3444030144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3975 (or 3959 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 27.
The square root of 3444030144 is about 58685.8598301158. The cubic root of 3444030144 is about 1510.1577461913.
Adding to 3444030144 its reverse (4410304443), we get a palindrome (7854334587).
The spelling of 3444030144 in words is "three billion, four hundred forty-four million, thirty thousand, one hundred forty-four".
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