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206349 = 31113237
BaseRepresentation
bin110010011000001101
3101111001120
4302120031
523100344
64231153
71516413
oct623015
9344046
10206349
11131040
129b4b9
1372c00
14552b3
1541219
hex3260d

206349 has 24 divisors (see below), whose sum is σ = 333792. Its totient is φ = 112320.

The previous prime is 206347. The next prime is 206351. The reversal of 206349 is 943602.

206349 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (206347) and next prime (206351).

It is not a de Polignac number, because 206349 - 21 = 206347 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5559 + ... + 5595.

It is an arithmetic number, because the mean of its divisors is an integer number (13908).

2206349 is an apocalyptic number.

It is an amenable number.

206349 is a deficient number, since it is larger than the sum of its proper divisors (127443).

206349 is a wasteful number, since it uses less digits than its factorization.

206349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 206349 is about 454.2565354511. The cubic root of 206349 is about 59.0927393372.

It can be divided in two parts, 2063 and 49, that added together give a palindrome (2112).

The spelling of 206349 in words is "two hundred six thousand, three hundred forty-nine".

Divisors: 1 3 11 13 33 37 39 111 143 169 407 429 481 507 1221 1443 1859 5291 5577 6253 15873 18759 68783 206349