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234210240 = 26325117393
BaseRepresentation
bin11011111010111…
…00001111000000
3121022201010001100
431331130033000
5434424211430
635123534400
75542516455
oct1575341700
9538633040
10234210240
11110229690
126652a400
13396a4754
142316982c
1515865960
hexdf5c3c0

234210240 has 168 divisors, whose sum is σ = 878939568. Its totient is φ = 56770560.

The previous prime is 234210217. The next prime is 234210247. The reversal of 234210240 is 42012432.

234210240 is a `hidden beast` number, since 2 + 3 + 421 + 0 + 240 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234210247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27984 + ... + 35376.

Almost surely, 2234210240 is an apocalyptic number.

234210240 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 234210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439469784).

234210240 is an abundant number, since it is smaller than the sum of its proper divisors (644729328).

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

234210240 is a wasteful number, since it uses less digits than its factorization.

234210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7427 (or 7414 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 234210240 is about 15303.9289073100. The cubic root of 234210240 is about 616.4085107239.

Adding to 234210240 its reverse (42012432), we get a palindrome (276222672).

The spelling of 234210240 in words is "two hundred thirty-four million, two hundred ten thousand, two hundred forty".