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34342322324343 = 3116117060269411
BaseRepresentation
bin1111100111011111100011…
…11011000100001101110111
311111121002112111020022202120
413303233301323010031313
514000131034003334333
6201012351200411023
710143102522216465
oct763576173041567
9144532474208676
1034342322324343
11aa40551716680
123a27932316a73
13162160c2a9347
1486a26a5d9835
153e84c8c5adb3
hex1f3bf1ec4377

34342322324343 has 16 divisors (see below), whose sum is σ = 50771361770112. Its totient is φ = 20472323292000.

The previous prime is 34342322324327. The next prime is 34342322324351.

34342322324343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34342322324343 - 24 = 34342322324327 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34342322324295 and 34342322324304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34342322325343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8530132693 + ... + 8530136718.

It is an arithmetic number, because the mean of its divisors is an integer number (3173210110632).

Almost surely, 234342322324343 is an apocalyptic number.

34342322324343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34342322324343 is a deficient number, since it is larger than the sum of its proper divisors (16429039445769).

34342322324343 is a wasteful number, since it uses less digits than its factorization.

34342322324343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17060269486.

The product of its digits is 2985984, while the sum is 42.

It can be divided in two parts, 3434232 and 2324343, that added together give a palindrome (5758575).

The spelling of 34342322324343 in words is "thirty-four trillion, three hundred forty-two billion, three hundred twenty-two million, three hundred twenty-four thousand, three hundred forty-three".

Divisors: 1 3 11 33 61 183 671 2013 17060269411 51180808233 187662963521 562988890563 1040676434071 3122029302213 11447440774781 34342322324343