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234243240 = 2335711101251
BaseRepresentation
bin11011111011001…
…00010010101000
3121022202210022120
431331210102220
5434431240430
635124351240
75543014620
oct1575442250
9538683276
10234243240
11110251460
1266545520
13396b678a
1423177880
1515870610
hexdf644a8

234243240 has 256 divisors, whose sum is σ = 888330240. Its totient is φ = 48000000.

The previous prime is 234243239. The next prime is 234243277. The reversal of 234243240 is 42342432.

234243240 = T451 + T452 + ... + T1143.

234243240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 234243240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 933115 + ... + 933365.

It is an arithmetic number, because the mean of its divisors is an integer number (3470040).

Almost surely, 2234243240 is an apocalyptic number.

234243240 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 234243240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444165120).

234243240 is an abundant number, since it is smaller than the sum of its proper divisors (654087000).

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

234243240 is a wasteful number, since it uses less digits than its factorization.

234243240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 234243240 is about 15305.0070238468. The cubic root of 234243240 is about 616.4374598219.

Adding to 234243240 its reverse (42342432), we get a palindrome (276585672).

The spelling of 234243240 in words is "two hundred thirty-four million, two hundred forty-three thousand, two hundred forty".