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34342400041 = 1914511245689
BaseRepresentation
bin11111111110111101…
…110111000000101001
310021122101021200101021
4133332331313000221
51030313123300131
623435432452441
72324015404165
oct377675670051
9107571250337
1034342400041
11136234314a4
1267a524a121
133313c0b691
14193b04bca5
15d5ee85e11
hex7fef77029

34342400041 has 8 divisors (see below), whose sum is σ = 36174837600. Its totient is φ = 32512456800.

The previous prime is 34342400023. The next prime is 34342400051. The reversal of 34342400041 is 14000424343.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34342400041 - 27 = 34342399913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34342399979 and 34342400015.

It is not an unprimeable number, because it can be changed into a prime (34342400011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 595276 + ... + 650413.

It is an arithmetic number, because the mean of its divisors is an integer number (4521854700).

Almost surely, 234342400041 is an apocalyptic number.

It is an amenable number.

34342400041 is a deficient number, since it is larger than the sum of its proper divisors (1832437559).

34342400041 is a wasteful number, since it uses less digits than its factorization.

34342400041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247159.

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 34342400041 its reverse (14000424343), we get a palindrome (48342824384).

The spelling of 34342400041 in words is "thirty-four billion, three hundred forty-two million, four hundred thousand, forty-one".

Divisors: 1 19 1451 27569 1245689 23668091 1807494739 34342400041