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234441000 = 23335319457
BaseRepresentation
bin11011111100101…
…00100100101000
3121100010211121000
431332110210220
5440004103000
635132515000
75544500313
oct1576244450
9540124530
10234441000
11110376aa2
126661ba60
13397557b1
14231c997a
15158ae000
hexdf94928

234441000 has 256 divisors, whose sum is σ = 857376000. Its totient is φ = 59097600.

The previous prime is 234440989. The next prime is 234441013. The reversal of 234441000 is 144432.

234441000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 512772 + ... + 513228.

It is an arithmetic number, because the mean of its divisors is an integer number (3349125).

Almost surely, 2234441000 is an apocalyptic number.

234441000 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 234441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428688000).

234441000 is an abundant number, since it is smaller than the sum of its proper divisors (622935000).

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

234441000 is a wasteful number, since it uses less digits than its factorization.

234441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 234441000 is about 15311.4662916391. The cubic root of 234441000 is about 616.6108869277.

Adding to 234441000 its reverse (144432), we get a palindrome (234585432).

The spelling of 234441000 in words is "two hundred thirty-four million, four hundred forty-one thousand".