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238657338 = 232232692143
BaseRepresentation
bin11100011100110…
…01111100111010
3121122002001022200
432032121330322
5442044013323
635403131030
75625360663
oct1616317472
9548061280
10238657338
11112796877
1267b13a76
133a5a097a
14239a636a
1515e43443
hexe399f3a

238657338 has 48 divisors (see below), whose sum is σ = 541831680. Its totient is φ = 75775392.

The previous prime is 238657337. The next prime is 238657343. The reversal of 238657338 is 833756832.

It is a junction number, because it is equal to n+sod(n) for n = 238657293 and 238657302.

It is not an unprimeable number, because it can be changed into a prime (238657333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110295 + ... + 112437.

It is an arithmetic number, because the mean of its divisors is an integer number (11288160).

Almost surely, 2238657338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238657338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270915840).

238657338 is an abundant number, since it is smaller than the sum of its proper divisors (303174342).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

238657338 is a wasteful number, since it uses less digits than its factorization.

238657338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2440 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 238657338 is about 15448.5383774647. The cubic root of 238657338 is about 620.2854547483.

The spelling of 238657338 in words is "two hundred thirty-eight million, six hundred fifty-seven thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 269 414 538 807 1614 2143 2421 4286 4842 6187 6429 12374 12858 18561 19287 37122 38574 49289 55683 98578 111366 147867 295734 443601 576467 887202 1152934 1729401 3458802 5188203 10376406 13258741 26517482 39776223 79552446 119328669 238657338