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238018768 = 24131783811
BaseRepresentation
bin11100010111111…
…10000011010000
3121120212121100221
432023332003100
5441413100033
635341322424
75620061161
oct1613760320
9546777327
10238018768
111123a0029
1267866414
133a409110
142387b768
1515d6912d
hexe2fe0d0

238018768 has 80 divisors (see below), whose sum is σ = 532840896. Its totient is φ = 102021120.

The previous prime is 238018741. The next prime is 238018769. The reversal of 238018768 is 867810832.

It is a happy number.

238018768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238018769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293083 + ... + 293893.

Almost surely, 2238018768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238018768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266420448).

238018768 is an abundant number, since it is smaller than the sum of its proper divisors (294822128).

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

238018768 is a wasteful number, since it uses less digits than its factorization.

238018768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The square root of 238018768 is about 15427.8568829245. The cubic root of 238018768 is about 619.7317327090.

The spelling of 238018768 in words is "two hundred thirty-eight million, eighteen thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 83 104 136 166 208 221 272 332 442 664 811 884 1079 1328 1411 1622 1768 2158 2822 3244 3536 4316 5644 6488 8632 10543 11288 12976 13787 17264 18343 21086 22576 27574 36686 42172 55148 67313 73372 84344 110296 134626 146744 168688 179231 220592 269252 293488 358462 538504 716924 875069 1077008 1144321 1433848 1750138 2288642 2867696 3500276 4577284 7000552 9154568 14001104 14876173 18309136 29752346 59504692 119009384 238018768