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238912128 = 27327134353
BaseRepresentation
bin11100011110110…
…00001010000000
3121122112222211100
432033120022000
5442130142003
635412414400
75630501550
oct1617301200
9548488740
10238912128
11112950244
1268017400
133a65c930
1423a31160
1515e93ba3
hexe3d8280

238912128 has 384 divisors, whose sum is σ = 882161280. Its totient is φ = 60383232.

The previous prime is 238912127. The next prime is 238912147. The reversal of 238912128 is 821219832.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 238912092 and 238912101.

It is not an unprimeable number, because it can be changed into a prime (238912123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4507750 + ... + 4507802.

It is an arithmetic number, because the mean of its divisors is an integer number (2297295).

Almost surely, 2238912128 is an apocalyptic number.

238912128 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 238912128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441080640).

238912128 is an abundant number, since it is smaller than the sum of its proper divisors (643249152).

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

238912128 is a wasteful number, since it uses less digits than its factorization.

238912128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 121 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 238912128 is about 15456.7825888831. The cubic root of 238912128 is about 620.5061146614.

The spelling of 238912128 in words is "two hundred thirty-eight million, nine hundred twelve thousand, one hundred twenty-eight".