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238671040 = 2656112227
BaseRepresentation
bin11100011100111…
…01010011000000
3121122002202010011
432032131103000
5442044433130
635403314304
75625445636
oct1616352300
9548082104
10238671040
111127a60a3
1267b1b994
133a5a6c8a
14239ab356
1515e4752a
hexe39d4c0

238671040 has 56 divisors (see below), whose sum is σ = 577699632. Its totient is φ = 93895680.

The previous prime is 238671011. The next prime is 238671047. The reversal of 238671040 is 40176832.

238671040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 238670993 and 238671011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238671047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13407 + ... + 25633.

Almost surely, 2238671040 is an apocalyptic number.

238671040 is a gapful number since it is divisible by the number (20) 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 238671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288849816).

238671040 is an abundant number, since it is smaller than the sum of its proper divisors (339028592).

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

238671040 is a wasteful number, since it uses less digits than its factorization.

238671040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12305 (or 12295 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 238671040 is about 15448.9818434743. The cubic root of 238671040 is about 620.2973253082.

The spelling of 238671040 in words is "two hundred thirty-eight million, six hundred seventy-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 160 244 305 320 488 610 976 1220 1952 2440 3904 4880 9760 12227 19520 24454 48908 61135 97816 122270 195632 244540 391264 489080 745847 782528 978160 1491694 1956320 2983388 3729235 3912640 5966776 7458470 11933552 14916940 23867104 29833880 47734208 59667760 119335520 238671040