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34431444342 = 2325683336593
BaseRepresentation
bin100000000100010001…
…100010010101110110
310021212120211121012100
4200010101202111312
51031003422204332
623452333202530
72326146306441
oct400421422566
9107776747170
1034431444342
111366971a829
12680b030446
1333294b7609
141948bca658
15d67bc467c
hex804462576

34431444342 has 24 divisors (see below), whose sum is σ = 74614811544. Its totient is φ = 11475094464.

The previous prime is 34431444317. The next prime is 34431444367. The reversal of 34431444342 is 24344413443.

It is an interprime number because it is at equal distance from previous prime (34431444317) and next prime (34431444367).

It is a junction number, because it is equal to n+sod(n) for n = 34431444297 and 34431444306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66003 + ... + 270590.

It is an arithmetic number, because the mean of its divisors is an integer number (3108950481).

Almost surely, 234431444342 is an apocalyptic number.

34431444342 is an abundant number, since it is smaller than the sum of its proper divisors (40183367202).

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

34431444342 is a wasteful number, since it uses less digits than its factorization.

34431444342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342284 (or 342281 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 34431444342 its reverse (24344413443), we get a palindrome (58775857785).

The spelling of 34431444342 in words is "thirty-four billion, four hundred thirty-one million, four hundred forty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 5683 11366 17049 34098 51147 102294 336593 673186 1009779 2019558 3029337 6058674 1912858019 3825716038 5738574057 11477148114 17215722171 34431444342