Search a number
-
+
3384001721 is a prime number
BaseRepresentation
bin1100100110110011…
…1100010010111001
322201211121002200002
43021230330102321
523412301023341
61315442522345
7146600353142
oct31154742271
98654532602
103384001721
1114871a9641
127a53663b5
1341c113ca9
14241604ac9
1514c14729b
hexc9b3c4b9

3384001721 has 2 divisors, whose sum is σ = 3384001722. Its totient is φ = 3384001720.

The previous prime is 3384001711. The next prime is 3384001723. The reversal of 3384001721 is 1271004833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1873591225 + 1510410496 = 43285^2 + 38864^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3384001721 is a prime.

It is a super-4 number, since 4×33840017214 (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

Together with 3384001723, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (3384001723) 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 as a sum of consecutive naturals, namely, 1692000860 + 1692000861.

It is an arithmetic number, because the mean of its divisors is an integer number (1692000861).

Almost surely, 23384001721 is an apocalyptic number.

It is an amenable number.

3384001721 is a deficient number, since it is larger than the sum of its proper divisors (1).

3384001721 is an equidigital number, since it uses as much as digits as its factorization.

3384001721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 3384001721 is about 58172.1730812938. The cubic root of 3384001721 is about 1501.3324044115.

The spelling of 3384001721 in words is "three billion, three hundred eighty-four million, one thousand, seven hundred twenty-one".