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238181328 = 243271121481
BaseRepresentation
bin11100011001001…
…01101111010000
3121121011212100200
432030211233100
5441433300303
635345015200
75621336130
oct1614455720
9547155320
10238181328
111124a1180
1267924500
133a4650c8
14238c0ac0
1515d9c3a3
hexe325bd0

238181328 has 120 divisors (see below), whose sum is σ = 831095616. Its totient is φ = 61862400.

The previous prime is 238181327. The next prime is 238181347. The reversal of 238181328 is 823181832.

238181328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 238181292 and 238181301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238181323) 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, 348 + ... + 21828.

Almost surely, 2238181328 is an apocalyptic number.

238181328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238181328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415547808).

238181328 is an abundant number, since it is smaller than the sum of its proper divisors (592914288).

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

238181328 is a wasteful number, since it uses less digits than its factorization.

238181328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21513 (or 21504 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 238181328 is about 15433.1243758352. The cubic root of 238181328 is about 619.8727869419.

The spelling of 238181328 in words is "two hundred thirty-eight million, one hundred eighty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 11088 21481 42962 64443 85924 128886 150367 171848 193329 236291 257772 300734 343696 386658 451101 472582 515544 601468 708873 773316 902202 945164 1031088 1202936 1353303 1417746 1546632 1654037 1804404 1890328 2126619 2405872 2706606 2835492 3093264 3308074 3608808 3780656 4253238 4962111 5413212 5670984 6616148 7217616 8506476 9924222 10826424 11341968 13232296 14886333 17012952 19848444 21652848 26464592 29772666 34025904 39696888 59545332 79393776 119090664 238181328