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234342243432 = 2332111012929571
BaseRepresentation
bin1101101000111111100…
…0101101110001101000
3211101212201021102001100
43122033320231301220
512314413103242212
6255353315321400
722634135126463
oct3321770556150
9741781242040
10234342243432
11904250a5a70
12395008b0260
13191381a448b
14b4b10cc2da
1561683c8bdc
hex368fe2dc68

234342243432 has 96 divisors (see below), whose sum is σ = 699230244960. Its totient is φ = 70309680000.

The previous prime is 234342243407. The next prime is 234342243511.

234342243432 is a `hidden beast` number, since 2 + 34 + 342 + 243 + 43 + 2 = 666.

234342243432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 1384794 + ... + 1544777.

It is an arithmetic number, because the mean of its divisors is an integer number (7283648385).

Almost surely, 2234342243432 is an apocalyptic number.

234342243432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

234342243432 is an abundant number, since it is smaller than the sum of its proper divisors (464888001528).

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

234342243432 is a wasteful number, since it uses less digits than its factorization.

234342243432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929695 (or 2929688 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

It can be divided in two parts, 234342 and 243432, that added together give a palindrome (477774).

The spelling of 234342243432 in words is "two hundred thirty-four billion, three hundred forty-two million, two hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 101 132 198 202 264 303 396 404 606 792 808 909 1111 1212 1818 2222 2424 3333 3636 4444 6666 7272 8888 9999 13332 19998 26664 39996 79992 2929571 5859142 8788713 11718284 17577426 23436568 26366139 32225281 35154852 52732278 64450562 70309704 96675843 105464556 128901124 193351686 210929112 257802248 290027529 295886671 386703372 580055058 591773342 773406744 887660013 1160110116 1183546684 1775320026 2320220232 2367093368 2662980039 3254753381 3550640052 5325960078 6509506762 7101280104 9764260143 10651920156 13019013524 19528520286 21303840312 26038027048 29292780429 39057040572 58585560858 78114081144 117171121716 234342243432