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234112130340 = 2235111907186007
BaseRepresentation
bin1101101000001000101…
…0111001110100100100
3211101021200021110020020
43122002022321310210
512313430201132330
6255314415235140
722625342163024
oct3320212716444
9741250243206
10234112130340
1190317215660
1239457818ab0
13190cc60589a
14b48c70ba84
1561530c2210
hex36822b9d24

234112130340 has 96 divisors (see below), whose sum is σ = 715484980224. Its totient is φ = 56724389760.

The previous prime is 234112130297. The next prime is 234112130341. The reversal of 234112130340 is 43031211432.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 234112130340.

It is not an unprimeable number, because it can be changed into a prime (234112130341) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1165617 + ... + 1351623.

It is an arithmetic number, because the mean of its divisors is an integer number (7452968544).

Almost surely, 2234112130340 is an apocalyptic number.

234112130340 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 234112130340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357742490112).

234112130340 is an abundant number, since it is smaller than the sum of its proper divisors (481372849884).

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

234112130340 is a wasteful number, since it uses less digits than its factorization.

234112130340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187937 (or 187935 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 234112130340 its reverse (43031211432), we get a palindrome (277143341772).

The spelling of 234112130340 in words is "two hundred thirty-four billion, one hundred twelve million, one hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1907 3814 5721 7628 9535 11442 19070 20977 22884 28605 38140 41954 57210 62931 83908 104885 114420 125862 186007 209770 251724 314655 372014 419540 558021 629310 744028 930035 1116042 1258620 1860070 2046077 2232084 2790105 3720140 4092154 5580210 6138231 8184308 10230385 11160420 12276462 20460770 24552924 30691155 40921540 61382310 122764620 354715349 709430698 1064146047 1418861396 1773576745 2128292094 3547153490 3901868839 4256584188 5320730235 7094306980 7803737678 10641460470 11705606517 15607475356 19509344195 21282920940 23411213034 39018688390 46822426068 58528032585 78037376780 117056065170 234112130340