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234424340200 = 235267311031579
BaseRepresentation
bin1101101001010011000…
…1111000111011101000
3211102002102202100122101
43122110301320323220
512320100112341300
6255405411103144
722636153004611
oct3322461707350
9742072670571
10234424340200
1190467479536
12395242a1ab4
131914c1ba04b
14b4bbd7cc08
1561706e3b6a
hex3694c78ee8

234424340200 has 96 divisors (see below), whose sum is σ = 546687331200. Its totient is φ = 93486274560.

The previous prime is 234424340177. The next prime is 234424340257. The reversal of 234424340200 is 2043424432.

It is a happy number.

234424340200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148463011 + ... + 148464589.

It is an arithmetic number, because the mean of its divisors is an integer number (5694659700).

Almost surely, 2234424340200 is an apocalyptic number.

234424340200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234424340200 is an abundant number, since it is smaller than the sum of its proper divisors (312262991000).

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

234424340200 is a wasteful number, since it uses less digits than its factorization.

234424340200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3371 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 234424340200 its reverse (2043424432), we get a palindrome (236467764632).

The spelling of 234424340200 in words is "two hundred thirty-four billion, four hundred twenty-four million, three hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 673 1103 1346 1579 2206 2692 3158 3365 4412 5384 5515 6316 6730 7895 8824 11030 12632 13460 15790 16825 22060 26920 27575 31580 33650 39475 44120 55150 63160 67300 78950 110300 134600 157900 220600 315800 742319 1062667 1484638 1741637 2125334 2969276 3483274 3711595 4250668 5313335 5938552 6966548 7423190 8501336 8708185 10626670 13933096 14846380 17416370 18557975 21253340 26566675 29692760 34832740 37115950 42506680 43540925 53133350 69665480 74231900 87081850 106266700 148463800 174163700 212533400 348327400 1172121701 2344243402 4688486804 5860608505 9376973608 11721217010 23442434020 29303042525 46884868040 58606085050 117212170100 234424340200