Search a number
-
+
2744000001 = 321814673607
BaseRepresentation
bin1010001110001110…
…0001111000000001
321002020022122100200
42203203201320001
521104431000001
61132141235413
7124666421001
oct24343417001
97066278320
102744000001
111188a098a6
12646b62b69
13349650b52
141c0608001
15110d77086
hexa38e1e01

2744000001 has 24 divisors (see below), whose sum is σ = 3995095104. Its totient is φ = 1814827680.

The previous prime is 2743999997. The next prime is 2744000009. The reversal of 2744000001 is 1000004472.

It is a happy number.

It is a Cunningham number, because it is equal to 14003+1.

It is not a de Polignac number, because 2744000001 - 22 = 2743999997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2744000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 758940 + ... + 762546.

It is an arithmetic number, because the mean of its divisors is an integer number (166462296).

Almost surely, 22744000001 is an apocalyptic number.

It is an amenable number.

2744000001 is a deficient number, since it is larger than the sum of its proper divisors (1251095103).

2744000001 is a wasteful number, since it uses less digits than its factorization.

2744000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4261 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2744000001 is about 52383.2034243802. The cubic root of 2744000001 is about 1400.0000001701. Note that the first 6 decimals are identical.

Adding to 2744000001 its reverse (1000004472), we get a palindrome (3744004473).

The spelling of 2744000001 in words is "two billion, seven hundred forty-four million, one", and thus it is an aban number.

Divisors: 1 3 9 181 467 543 1401 1629 3607 4203 10821 32463 84527 253581 652867 760743 1684469 1958601 5053407 5875803 15160221 304888889 914666667 2744000001