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299305377 = 32723172141
BaseRepresentation
bin10001110101110…
…000100110100001
3202212012021210100
4101311300212201
51103110233002
645411053013
710263024300
oct2165604641
9685167710
10299305377
11143a4a618
12842a1169
134a016897
142ba72437
151b42311c
hex11d709a1

299305377 has 36 divisors (see below), whose sum is σ = 504736596. Its totient is φ = 170412480.

The previous prime is 299305373. The next prime is 299305381. The reversal of 299305377 is 773503992.

299305377 is a `hidden beast` number, since 29 + 93 + 0 + 537 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (299305373) and next prime (299305381).

It can be written as a sum of positive squares in 2 ways, for example, as 152992161 + 146313216 = 12369^2 + 12096^2 .

It is not a de Polignac number, because 299305377 - 22 = 299305373 is a prime.

It is a super-2 number, since 2×2993053772 = 179167417402224258, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (299305373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 138727 + ... + 140867.

It is an arithmetic number, because the mean of its divisors is an integer number (14020461).

Almost surely, 2299305377 is an apocalyptic number.

It is an amenable number.

299305377 is a deficient number, since it is larger than the sum of its proper divisors (205431219).

299305377 is a wasteful number, since it uses less digits than its factorization.

299305377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 357210, while the sum is 45.

The square root of 299305377 is about 17300.4444162571. Note that the first 4 decimals coincide. The cubic root of 299305377 is about 668.9158802180.

The spelling of 299305377 in words is "two hundred ninety-nine million, three hundred five thousand, three hundred seventy-seven".

Divisors: 1 3 7 9 21 49 63 147 317 441 951 2141 2219 2853 6423 6657 14987 15533 19269 19971 44961 46599 104909 134883 139797 314727 678697 944181 2036091 4750879 6108273 14252637 33256153 42757911 99768459 299305377