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234321120 = 25335114931
BaseRepresentation
bin11011111011101…
…11010011100000
3121022220202011000
431331313103200
5434441233440
635130152000
75543460645
oct1575672340
9538822130
10234321120
111102a4a20
1266582600
1339713067
1423197dcc
1515888730
hexdf774e0

234321120 has 192 divisors, whose sum is σ = 894862080. Its totient is φ = 56793600.

The previous prime is 234321103. The next prime is 234321121. The reversal of 234321120 is 21123432.

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

It is a junction number, because it is equal to n+sod(n) for n = 234321093 and 234321102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234321121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 45055 + ... + 49985.

It is an arithmetic number, because the mean of its divisors is an integer number (4660740).

Almost surely, 2234321120 is an apocalyptic number.

234321120 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 234321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447431040).

234321120 is an abundant number, since it is smaller than the sum of its proper divisors (660540960).

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

234321120 is a wasteful number, since it uses less digits than its factorization.

234321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966 (or 4952 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 234321120 is about 15307.5510778178. The cubic root of 234321120 is about 616.5057689149.

Adding to 234321120 its reverse (21123432), we get a palindrome (255444552).

The spelling of 234321120 in words is "two hundred thirty-four million, three hundred twenty-one thousand, one hundred twenty".