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230403600 = 243252741223
BaseRepresentation
bin11011011101110…
…10111000010000
3121001112201022200
431232322320100
5432440403400
634510203200
75465253420
oct1556727020
9531481280
10230403600
111090696a9
12651b3500
1338970bbb
1422858480
1515362b00
hexdbbae10

230403600 has 360 divisors, whose sum is σ = 940273152. Its totient is φ = 51148800.

The previous prime is 230403587. The next prime is 230403619. The reversal of 230403600 is 6304032.

230403600 is a `hidden beast` number, since 2 + 304 + 0 + 360 + 0 = 666.

230403600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1033089 + ... + 1033311.

Almost surely, 2230403600 is an apocalyptic number.

230403600 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 230403600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470136576).

230403600 is an abundant number, since it is smaller than the sum of its proper divisors (709869552).

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

230403600 is a wasteful number, since it uses less digits than its factorization.

230403600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 230403600 is about 15179.0513537573. The cubic root of 230403600 is about 613.0507388542.

Adding to 230403600 its product of nonzero digits (432), we get a palindrome (230404032).

Adding to 230403600 its reverse (6304032), we get a palindrome (236707632).

The spelling of 230403600 in words is "two hundred thirty million, four hundred three thousand, six hundred".