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230343300 = 2232521153439
BaseRepresentation
bin11011011101011…
…00001010000100
3121001102122121100
431232230022010
5432431441200
634505020100
75464612545
oct1556541204
9531378540
10230343300
11109028370
1265184630
133894c615
14228404cc
151534ed00
hexdbac284

230343300 has 216 divisors, whose sum is σ = 804323520. Its totient is φ = 54662400.

The previous prime is 230343293. The next prime is 230343307. The reversal of 230343300 is 3343032.

230343300 is a `hidden beast` number, since 23 + 0 + 343 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (230343293) and next prime (230343307).

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

It is not an unprimeable number, because it can be changed into a prime (230343307) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 524481 + ... + 524919.

It is an arithmetic number, because the mean of its divisors is an integer number (3723720).

Almost surely, 2230343300 is an apocalyptic number.

230343300 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 230343300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402161760).

230343300 is an abundant number, since it is smaller than the sum of its proper divisors (573980220).

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

230343300 is a wasteful number, since it uses less digits than its factorization.

230343300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 230343300 is about 15177.0649336425. The cubic root of 230343300 is about 612.9972527325.

Adding to 230343300 its reverse (3343032), we get a palindrome (233686332).

The spelling of 230343300 in words is "two hundred thirty million, three hundred forty-three thousand, three hundred".