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234023400 = 2332521373137
BaseRepresentation
bin11011111001011…
…10100111101000
3121022100121202100
431330232213220
5434402222100
635115533400
75541110652
oct1574564750
9538317670
10234023400
11110111276
126645a260
133963a6b0
142311b6d2
151582a400
hexdf2e9e8

234023400 has 288 divisors, whose sum is σ = 864241560. Its totient is φ = 56401920.

The previous prime is 234023381. The next prime is 234023477. The reversal of 234023400 is 4320432.

234023400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 4137156 + 229886244 = 2034^2 + 15162^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1708132 + ... + 1708268.

Almost surely, 2234023400 is an apocalyptic number.

234023400 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 234023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432120780).

234023400 is an abundant number, since it is smaller than the sum of its proper divisors (630218160).

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

234023400 is a wasteful number, since it uses less digits than its factorization.

234023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 234023400 is about 15297.8233745850. The cubic root of 234023400 is about 616.2445548907.

Adding to 234023400 its reverse (4320432), we get a palindrome (238343832).

The spelling of 234023400 in words is "two hundred thirty-four million, twenty-three thousand, four hundred".