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305749 is a prime number
BaseRepresentation
bin1001010101001010101
3120112102001
41022221111
534240444
610315301
72412253
oct1125125
9515361
10305749
11199794
12128b31
13a9222
147d5d3
15608d4
hex4aa55

305749 has 2 divisors, whose sum is σ = 305750. Its totient is φ = 305748.

The previous prime is 305743. The next prime is 305759. The reversal of 305749 is 947503.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 302500 + 3249 = 550^2 + 57^2 .

It is a cyclic number.

It is not a de Polignac number, because 305749 - 23 = 305741 is a prime.

It is a super-3 number, since 3×3057493 = 85746497733314247, which contains 333 as substring.

It is a Chen prime.

305749 is a lucky 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 (305741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 152874 + 152875.

It is an arithmetic number, because the mean of its divisors is an integer number (152875).

2305749 is an apocalyptic number.

It is an amenable number.

305749 is a deficient number, since it is larger than the sum of its proper divisors (1).

305749 is an equidigital number, since it uses as much as digits as its factorization.

305749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 305749 is about 552.9457477909. The cubic root of 305749 is about 67.3682110803.

The spelling of 305749 in words is "three hundred five thousand, seven hundred forty-nine".