Search a number
-
+
330788641 is a prime number
BaseRepresentation
bin10011101101110…
…110111100100001
3212001102210201011
4103231312330201
51134140214031
652453540521
711124441241
oct2355667441
9761383634
10330788641
1115a7a3447
1292944741
13536baa31
1431d09b21
151e0916b1
hex13b76f21

330788641 has 2 divisors, whose sum is σ = 330788642. Its totient is φ = 330788640.

The previous prime is 330788639. The next prime is 330788671. The reversal of 330788641 is 146887033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 286286400 + 44502241 = 16920^2 + 6671^2 .

It is a cyclic number.

It is not a de Polignac number, because 330788641 - 21 = 330788639 is a prime.

It is a super-2 number, since 2×3307886412 = 218842250029253762, which contains 22 as substring.

Together with 330788639, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 330788594 and 330788603.

It is not a weakly prime, because it can be changed into another prime (330788671) 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, 165394320 + 165394321.

It is an arithmetic number, because the mean of its divisors is an integer number (165394321).

Almost surely, 2330788641 is an apocalyptic number.

It is an amenable number.

330788641 is a deficient number, since it is larger than the sum of its proper divisors (1).

330788641 is an equidigital number, since it uses as much as digits as its factorization.

330788641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 330788641 is about 18187.5958004350. The cubic root of 330788641 is about 691.5923742595.

The spelling of 330788641 in words is "three hundred thirty million, seven hundred eighty-eight thousand, six hundred forty-one".