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34023030041 = 7111341829001
BaseRepresentation
bin11111101011111011…
…100011110100011001
310020211010100000002202
4133223323203310121
51024134343430131
623344023335545
72313056661260
oct375373436431
9106733300082
1034023030041
111347a128050
1267162b15b5
1332929bb150
14190a8755d7
15d41decbcb
hex7ebee3d19

34023030041 has 32 divisors (see below), whose sum is σ = 46795504896. Its totient is φ = 23875200000.

The previous prime is 34023030037. The next prime is 34023030047. The reversal of 34023030041 is 14003032043.

It is a cyclic number.

It is not a de Polignac number, because 34023030041 - 22 = 34023030037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34023029995 and 34023030022.

It is not an unprimeable number, because it can be changed into a prime (34023030047) 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 31 ways as a sum of consecutive naturals, for example, 373460 + ... + 455541.

It is an arithmetic number, because the mean of its divisors is an integer number (1462359528).

Almost surely, 234023030041 is an apocalyptic number.

It is an amenable number.

34023030041 is a deficient number, since it is larger than the sum of its proper divisors (12772474855).

34023030041 is a wasteful number, since it uses less digits than its factorization.

34023030041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829073.

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 34023030041 its reverse (14003032043), we get a palindrome (48026062084).

The spelling of 34023030041 in words is "thirty-four billion, twenty-three million, thirty thousand, forty-one".

Divisors: 1 7 11 13 41 77 91 143 287 451 533 1001 3157 3731 5863 41041 829001 5803007 9119011 10777013 33989041 63833077 75439091 118547143 237923287 373879451 441857533 829830001 2617156157 3093002731 4860432863 34023030041