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230803344 = 2435232989
BaseRepresentation
bin11011100000111…
…00011110010000
3121002022000200000
431300130132100
5433041201334
634522530000
75501540022
oct1560343620
9532260600
10230803344
11109311a72
1265366900
1338a80b35
1422920012
15153e1299
hexdc1c790

230803344 has 240 divisors, whose sum is σ = 731203200. Its totient is φ = 70253568.

The previous prime is 230803333. The next prime is 230803357. The reversal of 230803344 is 443308032.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2593252 + ... + 2593340.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2230803344 is an apocalyptic number.

230803344 is a gapful number since it is divisible by the number (24) 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 230803344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365601600).

230803344 is an abundant number, since it is smaller than the sum of its proper divisors (500399856).

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

230803344 is a wasteful number, since it uses less digits than its factorization.

230803344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 230803344 is about 15192.2132686452. The cubic root of 230803344 is about 613.4050761488.

The spelling of 230803344 in words is "two hundred thirty million, eight hundred three thousand, three hundred forty-four".