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238383 = 37109
BaseRepresentation
bin111010001100101111
3110010000000
4322030233
530112013
65035343
72011665
oct721457
9403000
10238383
11153112
12b5b53
1384672
1462c35
154a973
hex3a32f

238383 has 16 divisors (see below), whose sum is σ = 360800. Its totient is φ = 157464.

The previous prime is 238373. The next prime is 238397. The reversal of 238383 is 383832.

It is not a de Polignac number, because 238383 - 212 = 234287 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 213 + 34 + 39 + 83 + 85 + 311 .

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238313) 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 in 15 ways as a sum of consecutive naturals, for example, 2133 + ... + 2241.

It is an arithmetic number, because the mean of its divisors is an integer number (22550).

2238383 is an apocalyptic number.

238383 is a deficient number, since it is larger than the sum of its proper divisors (122417).

238383 is an frugal number, since it uses more digits than its factorization.

238383 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 238383 is about 488.2448156407. The cubic root of 238383 is about 62.0047689707.

The spelling of 238383 in words is "two hundred thirty-eight thousand, three hundred eighty-three".

Divisors: 1 3 9 27 81 109 243 327 729 981 2187 2943 8829 26487 79461 238383