Search a number
-
+
3330011407 is a prime number
BaseRepresentation
bin1100011001111011…
…1111000100001111
322121002000002212211
43012132333010033
523304440331112
61310233411251
7145343426032
oct30636770417
98532002784
103330011407
111459782948
1278b269b27
13410b8c568
1423838d019
151475300a7
hexc67bf10f

3330011407 has 2 divisors, whose sum is σ = 3330011408. Its totient is φ = 3330011406.

The previous prime is 3330011401. The next prime is 3330011423. The reversal of 3330011407 is 7041100333.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3330011407 is a prime.

It is a super-3 number, since 3×33300114073 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3330011401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1665005703 + 1665005704.

It is an arithmetic number, because the mean of its divisors is an integer number (1665005704).

Almost surely, 23330011407 is an apocalyptic number.

3330011407 is a deficient number, since it is larger than the sum of its proper divisors (1).

3330011407 is an equidigital number, since it uses as much as digits as its factorization.

3330011407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 3330011407 is about 57706.2510218780. The cubic root of 3330011407 is about 1493.3051873692.

The spelling of 3330011407 in words is "three billion, three hundred thirty million, eleven thousand, four hundred seven".