Search a number
-
+
12342404232 = 23323127719963
BaseRepresentation
bin10110111111010101…
…00010010010001000
31011212011102002122200
423133222202102020
5200234123413412
65400420320200
7614566463544
oct133752422210
934764362580
1012342404232
115263a68a84
122485543060
13121908b592
148512aca24
154c38589dc
hex2dfaa2488

12342404232 has 96 divisors (see below), whose sum is σ = 34631950080. Its totient is φ = 3966848640.

The previous prime is 12342404227. The next prime is 12342404267. The reversal of 12342404232 is 23240424321.

12342404232 is a `hidden beast` number, since 1 + 2 + 3 + 424 + 0 + 4 + 232 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12342404196 and 12342404205.

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, 608283 + ... + 628245.

It is an arithmetic number, because the mean of its divisors is an integer number (360749480).

Almost surely, 212342404232 is an apocalyptic number.

12342404232 is a gapful number since it is divisible by the number (12) 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 12342404232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17315975040).

12342404232 is an abundant number, since it is smaller than the sum of its proper divisors (22289545848).

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

12342404232 is a wasteful number, since it uses less digits than its factorization.

12342404232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20283 (or 20276 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 12342404232 its reverse (23240424321), we get a palindrome (35582828553).

The spelling of 12342404232 in words is "twelve billion, three hundred forty-two million, four hundred four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 277 279 372 554 558 744 831 1108 1116 1662 2216 2232 2493 3324 4986 6648 8587 9972 17174 19944 19963 25761 34348 39926 51522 59889 68696 77283 79852 103044 119778 154566 159704 179667 206088 239556 309132 359334 479112 618264 618853 718668 1237706 1437336 1856559 2475412 3713118 4950824 5529751 5569677 7426236 11059502 11139354 14852472 16589253 22119004 22278708 33178506 44238008 44557416 49767759 66357012 99535518 132714024 171422281 199071036 342844562 398142072 514266843 685689124 1028533686 1371378248 1542800529 2057067372 3085601058 4114134744 6171202116 12342404232