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234203432203400 = 235211210195820077
BaseRepresentation
bin110101010000000110111100…
…011000011011010010001000
31010201020121222212121012102112
4311100012330120123102020
5221144142112121002100
62150035323232521452
7100221432244145102
oct6520067430332210
91121217885535375
10234203432203400
1168696132898400
122232623b6b0288
13a08b39a9056ba
1441b9714182572
151c1227e761b35
hexd501bc61b488

234203432203400 has 144 divisors (see below), whose sum is σ = 604451257838820. Its totient is φ = 84321666880000.

The previous prime is 234203432203373. The next prime is 234203432203483. The reversal of 234203432203400 is 4302234302432.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 187853832936484 + 46349599266916 = 13705978^2 + 6808054^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45465839 + ... + 50354238.

Almost surely, 2234203432203400 is an apocalyptic number.

234203432203400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234203432203400 is an abundant number, since it is smaller than the sum of its proper divisors (370247825635420).

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

234203432203400 is a wasteful number, since it uses less digits than its factorization.

234203432203400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95820216 (or 95820196 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 234203432203400 its reverse (4302234302432), we get a palindrome (238505666505832).

The spelling of 234203432203400 in words is "two hundred thirty-four trillion, two hundred three billion, four hundred thirty-two million, two hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 121 200 202 220 242 275 404 440 484 505 550 605 808 968 1010 1100 1111 1210 2020 2200 2222 2420 2525 3025 4040 4444 4840 5050 5555 6050 8888 10100 11110 12100 12221 20200 22220 24200 24442 27775 44440 48884 55550 61105 97768 111100 122210 222200 244420 305525 488840 611050 1222100 2444200 95820077 191640154 383280308 479100385 766560616 958200770 1054020847 1916401540 2108041694 2395501925 3832803080 4216083388 4791003850 5270104235 8432166776 9582007700 9677827777 10540208470 11594229317 19164015400 19355655554 21080416940 23188458634 26350521175 38711311108 42160833880 46376917268 48389138885 52701042350 57971146585 77422622216 92753834536 96778277770 105402084700 106456105547 115942293170 193556555540 210804169400 212912211094 231884586340 241945694425 289855732925 387113111080 425824422188 463769172680 483891388850 532280527735 579711465850 851648844376 967782777700 1064561055470 1159422931700 1171017161017 1935565555400 2129122110940 2318845863400 2342034322034 2661402638675 4258244221880 4684068644068 5322805277350 5855085805085 9368137288136 10645610554700 11710171610170 21291221109400 23420343220340 29275429025425 46840686440680 58550858050850 117101716101700 234203432203400