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238234752 = 2732731953
BaseRepresentation
bin11100011001100…
…10110010000000
3121121021120122100
432030302302000
5441442003002
635350110400
75621650650
oct1614626200
9547246570
10238234752
11112528328
126794b400
133a483512
14238d6360
1515dad11c
hexe332c80

238234752 has 192 divisors, whose sum is σ = 809602560. Its totient is φ = 65802240.

The previous prime is 238234687. The next prime is 238234757. The reversal of 238234752 is 257432832.

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 not an unprimeable number, because it can be changed into a prime (238234757) 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 23 ways as a sum of consecutive naturals, for example, 249508 + ... + 250460.

It is an arithmetic number, because the mean of its divisors is an integer number (4216680).

Almost surely, 2238234752 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 238234752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404801280).

238234752 is an abundant number, since it is smaller than the sum of its proper divisors (571367808).

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

238234752 is a wasteful number, since it uses less digits than its factorization.

238234752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 996 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 238234752 is about 15434.8551013607. The cubic root of 238234752 is about 619.9191292369.

The spelling of 238234752 in words is "two hundred thirty-eight million, two hundred thirty-four thousand, seven hundred fifty-two".