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234305200 = 24524911193
BaseRepresentation
bin11011111011100…
…11011010110000
3121022212221022101
431331303122300
5434440231300
635125550144
75543363353
oct1575633260
9538787271
10234305200
11110293a68
1266575354
1339708a3c
142319229a
1515883b6a
hexdf736b0

234305200 has 60 divisors (see below), whose sum is σ = 564537528. Its totient is φ = 93452800.

The previous prime is 234305191. The next prime is 234305249. The reversal of 234305200 is 2503432.

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 11 ways as a sum of consecutive naturals, for example, 195804 + ... + 196996.

Almost surely, 2234305200 is an apocalyptic number.

234305200 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 234305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282268764).

234305200 is an abundant number, since it is smaller than the sum of its proper divisors (330232328).

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

234305200 is a wasteful number, since it uses less digits than its factorization.

234305200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 234305200 is about 15307.0310641875. The cubic root of 234305200 is about 616.4918066024.

Adding to 234305200 its reverse (2503432), we get a palindrome (236808632).

The spelling of 234305200 in words is "two hundred thirty-four million, three hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 491 982 1193 1964 2386 2455 3928 4772 4910 5965 7856 9544 9820 11930 12275 19088 19640 23860 24550 29825 39280 47720 49100 59650 95440 98200 119300 196400 238600 477200 585763 1171526 2343052 2928815 4686104 5857630 9372208 11715260 14644075 23430520 29288150 46861040 58576300 117152600 234305200