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234320023432 = 231129101909091
BaseRepresentation
bin1101101000111010001…
…1111100111110001000
3211101211011110111221101
43122032203330332020
512314341411222212
6255351203151144
722633445223235
oct3321643747610
9741734414841
10234320023432
11904135a9830
12394b53754b4
13191336c4751
14b4ac18678c
15616648a157
hex368e8fcf88

234320023432 has 64 divisors (see below), whose sum is σ = 500727873600. Its totient is φ = 101818080000.

The previous prime is 234320023397. The next prime is 234320023477.

234320023432 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 234320023432.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196794 + ... + 712297.

It is an arithmetic number, because the mean of its divisors is an integer number (7823873025).

Almost surely, 2234320023432 is an apocalyptic number.

234320023432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

234320023432 is an abundant number, since it is smaller than the sum of its proper divisors (266407850168).

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

234320023432 is a wasteful number, since it uses less digits than its factorization.

234320023432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909238 (or 909234 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

It can be divided in two parts, 2343200 and 23432, that multiplied together give a square (54905862400 = 2343202).

The spelling of 234320023432 in words is "two hundred thirty-four billion, three hundred twenty million, twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 29 44 58 88 101 116 202 232 319 404 638 808 1111 1276 2222 2552 2929 4444 5858 8888 11716 23432 32219 64438 128876 257752 909091 1818182 3636364 7272728 10000001 20000002 26363639 40000004 52727278 80000008 91818191 105454556 183636382 210909112 290000029 367272764 580000058 734545528 1010000101 1160000116 2020000202 2320000232 2662727539 4040000404 5325455078 8080000808 10650910156 21301820312 29290002929 58580005858 117160011716 234320023432