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34342222224343 = 113177297207997
BaseRepresentation
bin1111100111011111010111…
…11101001101101111010111
311111121002021111212201101011
413303233223331031233113
514000130332342134333
6201012333223113051
710143100165326655
oct763575375155727
9144532244781334
1034342222224343
11aa40500167000
123a279048a2787
1316215c462c187
1486a25b1bddd5
153e84c00869cd
hex1f3bebf4dbd7

34342222224343 has 32 divisors (see below), whose sum is σ = 40001529734208. Its totient is φ = 29379551477760.

The previous prime is 34342222224301. The next prime is 34342222224361.

34342222224343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34342222224343 - 213 = 34342222216151 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34342222224296 and 34342222224305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34342222224643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165005221 + ... + 165213217.

It is an arithmetic number, because the mean of its divisors is an integer number (1250047804194).

Almost surely, 234342222224343 is an apocalyptic number.

34342222224343 is a deficient number, since it is larger than the sum of its proper divisors (5659307509865).

34342222224343 is a wasteful number, since it uses less digits than its factorization.

34342222224343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215344 (or 215322 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 40.

It can be divided in two parts, 3434222 and 2224343, that added together give a palindrome (5658565).

The spelling of 34342222224343 in words is "thirty-four trillion, three hundred forty-two billion, two hundred twenty-two million, two hundred twenty-four thousand, three hundred forty-three".

Divisors: 1 11 17 121 187 1331 2057 7297 22627 80267 124049 207997 882937 1364539 2287967 3535949 9712307 15009929 25167637 38895439 165109219 276844007 427849829 1517754109 4706348119 16695295199 25801819853 183648247189 283820018383 2020130719079 3122020202213 34342222224343