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234000000 = 27325613
BaseRepresentation
bin11011111001010…
…00111010000000
3121022022102122200
431330220322000
5434401000000
635115233200
75540652513
oct1574507200
9538272580
10234000000
111100a5733
1266448800
133962cb50
1423112d7a
1515823500
hexdf28e80

234000000 has 336 divisors, whose sum is σ = 906433710. Its totient is φ = 57600000.

The previous prime is 233999989. The next prime is 234000007. The reversal of 234000000 is 432.

It can be written as a sum of positive squares in 7 ways, for example, as 168584256 + 65415744 = 12984^2 + 8088^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (234000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 17999994 + ... + 18000006.

Almost surely, 2234000000 is an apocalyptic number.

234000000 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 234000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453216855).

234000000 is an abundant number, since it is smaller than the sum of its proper divisors (672433710).

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

234000000 is an frugal number, since it uses more digits than its factorization.

234000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 234000000 is about 15297.0585407784. The cubic root of 234000000 is about 616.2240147749.

Adding to 234000000 its reverse (432), we get a palindrome (234000432).

The spelling of 234000000 in words is "two hundred thirty-four million", and thus it is an aban number.