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238681432 = 23115945971
BaseRepresentation
bin11100011100111…
…11110101011000
3121122010021101001
432032133311120
5442100301212
635403434344
75625521143
oct1616376530
9548107331
10238681432
11112802990
1267b259b4
133a5ab922
14239b105a
1515e4a657
hexe39fd58

238681432 has 32 divisors (see below), whose sum is σ = 496497600. Its totient is φ = 106650400.

The previous prime is 238681427. The next prime is 238681441. The reversal of 238681432 is 234186832.

It is a junction number, because it is equal to n+sod(n) for n = 238681391 and 238681400.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 17794 + ... + 28177.

It is an arithmetic number, because the mean of its divisors is an integer number (15515550).

Almost surely, 2238681432 is an apocalyptic number.

238681432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

238681432 is an abundant number, since it is smaller than the sum of its proper divisors (257816168).

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

238681432 is a wasteful number, since it uses less digits than its factorization.

238681432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46047 (or 46043 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The square root of 238681432 is about 15449.3181726573. The cubic root of 238681432 is about 620.3063279871.

The spelling of 238681432 in words is "two hundred thirty-eight million, six hundred eighty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 59 88 118 236 472 649 1298 2596 5192 45971 91942 183884 367768 505681 1011362 2022724 2712289 4045448 5424578 10849156 21698312 29835179 59670358 119340716 238681432