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34356499465343 = 11101227797170927
BaseRepresentation
bin1111100111111001111101…
…11100100100010001111111
311111122110010112000201002212
413303330332330210101333
514000344102330342333
6201023054042011035
710144114041015206
oct763747674442177
9144573115021085
1034356499465343
11aa46567304530
123a2a62a1a6a7b
131622a5b4ca983
1486ac1342423d
153e8a586d0448
hex1f3f3ef2447f

34356499465343 has 32 divisors (see below), whose sum is σ = 38065572615168. Its totient is φ = 30748903696000.

The previous prime is 34356499465319. The next prime is 34356499465439.

34356499465343 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34356499465343 - 230 = 34355425723519 is a prime.

It is a super-2 number, since 2×343564994653432 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34356499461343) 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, 200915546 + ... + 201086472.

It is an arithmetic number, because the mean of its divisors is an integer number (1189549144224).

Almost surely, 234356499465343 is an apocalyptic number.

34356499465343 is a deficient number, since it is larger than the sum of its proper divisors (3709073149825).

34356499465343 is a wasteful number, since it uses less digits than its factorization.

34356499465343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172063.

The product of its digits is 1511654400, while the sum is 68.

The spelling of 34356499465343 in words is "thirty-four trillion, three hundred fifty-six billion, four hundred ninety-nine million, four hundred sixty-five thousand, three hundred forty-three".

Divisors: 1 11 101 227 797 1111 2497 8767 22927 80497 170927 180919 252197 885467 1880197 1990109 17263627 18272819 38800429 136228819 189899897 201001009 426804719 1498517009 3918843329 13759110719 30923941913 43107276619 151350217909 340163361043 3123318133213 34356499465343