Search a number
-
+
306749 is a prime number
BaseRepresentation
bin1001010111000111101
3120120210002
41022320331
534303444
610324045
72415212
oct1127075
9516702
10306749
1119a513
12129625
13a9811
147db09
1560d4e
hex4ae3d

306749 has 2 divisors, whose sum is σ = 306750. Its totient is φ = 306748.

The previous prime is 306739. The next prime is 306763. The reversal of 306749 is 947603.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 220900 + 85849 = 470^2 + 293^2 .

It is an emirp because it is prime and its reverse (947603) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-306749 is a prime.

It is a super-3 number, since 3×3067493 = 86590594533323247, which contains 333 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 311 + 0 + 76 + 65 + 46 + 92 .

It is a Curzon number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (306739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 153374 + 153375.

It is an arithmetic number, because the mean of its divisors is an integer number (153375).

2306749 is an apocalyptic number.

It is an amenable number.

306749 is a deficient number, since it is larger than the sum of its proper divisors (1).

306749 is an equidigital number, since it uses as much as digits as its factorization.

306749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 306749 is about 553.8492574699. The cubic root of 306749 is about 67.4415772490.

The spelling of 306749 in words is "three hundred six thousand, seven hundred forty-nine".