Search a number
-
+
34004423041 = 891361280729
BaseRepresentation
bin11111101010110100…
…100101000110000001
310020202211022200002121
4133222310211012001
51024120113014131
623342120444241
72312442553411
oct375264450601
9106684280077
1034004423041
111346a679366
126710019681
13328bba4aa4
1419081d0641
15d40474911
hex7ead25181

34004423041 has 8 divisors (see below), whose sum is σ = 34411883400. Its totient is φ = 33597527040.

The previous prime is 34004422999. The next prime is 34004423053. The reversal of 34004423041 is 14032440043.

It can be written as a sum of positive squares in 4 ways, for example, as 1566972225 + 32437450816 = 39585^2 + 180104^2 .

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 34004423041 - 217 = 34004291969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34004422997 and 34004423015.

It is not an unprimeable number, because it can be changed into a prime (34004420041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19236 + ... + 261493.

It is an arithmetic number, because the mean of its divisors is an integer number (4301485425).

Almost surely, 234004423041 is an apocalyptic number.

It is an amenable number.

34004423041 is a deficient number, since it is larger than the sum of its proper divisors (407460359).

34004423041 is a wasteful number, since it uses less digits than its factorization.

34004423041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282179.

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

Adding to 34004423041 its reverse (14032440043), we get a palindrome (48036863084).

The spelling of 34004423041 in words is "thirty-four billion, four million, four hundred twenty-three thousand, forty-one".

Divisors: 1 89 1361 121129 280729 24984881 382072169 34004423041