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238803840 = 27325113769
BaseRepresentation
bin11100011101111…
…01101110000000
3121122100111021200
432032331232000
5442113210330
635410221200
75626541052
oct1616755600
9548314250
10238803840
11112886950
1267b84800
133a622562
1423a038d2
1515e71a60
hexe3bdb80

238803840 has 192 divisors, whose sum is σ = 899823600. Its totient is φ = 57876480.

The previous prime is 238803839. The next prime is 238803847. The reversal of 238803840 is 48308832.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 238803795 and 238803804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238803847) 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, 61476 + ... + 65244.

Almost surely, 2238803840 is an apocalyptic number.

238803840 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 238803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449911800).

238803840 is an abundant number, since it is smaller than the sum of its proper divisors (661019760).

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

238803840 is a wasteful number, since it uses less digits than its factorization.

238803840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 238803840 is about 15453.2792636385. The cubic root of 238803840 is about 620.4123514284.

The spelling of 238803840 in words is "two hundred thirty-eight million, eight hundred three thousand, eight hundred forty".