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343423222324343 = 717611313461104347
BaseRepresentation
bin100111000010101110111001…
…1001011001001110001110111
31200000221221100211121112212022
41032011131303023021301313
5330003121224403334333
63214222241135143355
7132223336411305350
oct11605356313116167
91600857324545768
10343423222324343
119a474a74a82657
123262587a374b5b
1311981894c9c315
1460b3ab620cd27
1529a835d291c98
hex13857732c9c77

343423222324343 has 64 divisors (see below), whose sum is σ = 425734951504896. Its totient is φ = 270344625408000.

The previous prime is 343423222324319. The next prime is 343423222324397.

343423222324343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 343423222324343 - 224 = 343423205547127 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 343423222324294 and 343423222324303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343423222324643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3291113096 + ... + 3291217442.

It is an arithmetic number, because the mean of its divisors is an integer number (6652108617264).

Almost surely, 2343423222324343 is an apocalyptic number.

343423222324343 is a deficient number, since it is larger than the sum of its proper divisors (82311729180553).

343423222324343 is a wasteful number, since it uses less digits than its factorization.

343423222324343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108024.

The product of its digits is 5971968, while the sum is 44.

The spelling of 343423222324343 in words is "three hundred forty-three trillion, four hundred twenty-three billion, two hundred twenty-two million, three hundred twenty-four thousand, three hundred forty-three".

Divisors: 1 7 17 61 119 131 427 917 1037 2227 3461 7259 7991 15589 24227 55937 58837 104347 135847 211121 411859 453391 730429 950929 1477847 1773899 3173737 3589057 6365167 7707647 12417293 13669457 25123399 27656851 44556169 53953529 95686199 108207839 193597957 232380769 361144967 470166467 757454873 833836877 1626665383 2528014769 3291165269 5836858139 6139464439 14175226909 22029842987 42976251073 47309990677 99226588363 154208900909 331169934739 374507330779 804269841509 2621551315453 2885909431297 5629888890563 20201366019079 49060460332049 343423222324343