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342434243313 = 32375857175573
BaseRepresentation
bin1001111101110101010…
…10111110001011110001
31012201212211102221022100
410332322222332023301
521102301131241223
6421151230131013
733511561020411
oct4767252761361
91181784387270
10342434243313
11122253226378
1256448650a69
13263a32c9316
1412806b24641
158d92c33043
hex4fbaabe2f1

342434243313 has 24 divisors (see below), whose sum is σ = 508085171048. Its totient is φ = 222080320512.

The previous prime is 342434243297. The next prime is 342434243323. The reversal of 342434243313 is 313342434243.

342434243313 is a `hidden beast` number, since 342 + 43 + 4 + 243 + 31 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 113115850929 + 229318392384 = 336327^2 + 478872^2 .

It is not a de Polignac number, because 342434243313 - 24 = 342434243297 is a prime.

It is a super-3 number, since 3×3424342433133 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (342434243323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1862595 + ... + 2038167.

Almost surely, 2342434243313 is an apocalyptic number.

It is an amenable number.

342434243313 is a deficient number, since it is larger than the sum of its proper divisors (165650927735).

342434243313 is a wasteful number, since it uses less digits than its factorization.

342434243313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181473 (or 181470 counting only the distinct ones).

The product of its digits is 248832, while the sum is 36.

Adding to 342434243313 its reverse (313342434243), we get a palindrome (655776677556).

The spelling of 342434243313 in words is "three hundred forty-two billion, four hundred thirty-four million, two hundred forty-three thousand, three hundred thirteen".

Divisors: 1 3 9 37 111 333 5857 17571 52713 175573 216709 526719 650127 1580157 1950381 6496201 19488603 58465809 1028331061 3084993183 9254979549 38048249257 114144747771 342434243313