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343223242322343 = 37313765375123327
BaseRepresentation
bin100111000001010001110001…
…1011011111111000110100111
31200000020211011212221212110120
41032002203203123333012213
5324441332200013303333
63213550325241453023
7132203026622321505
oct11602434333770647
91600224155855416
10343223242322343
119a3a8183530229
12325b2b694a1173
1311968a74b626a6
1460a8144a55675
1529a305696cdb3
hex13828e36ff1a7

343223242322343 has 64 divisors (see below), whose sum is σ = 468644897636352. Its totient is φ = 223383211776000.

The previous prime is 343223242322329. The next prime is 343223242322383.

343223242322343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 343223242322343 - 24 = 343223242322327 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 343223242322295 and 343223242322304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343223242322383) 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, 14713549546 + ... + 14713572872.

It is an arithmetic number, because the mean of its divisors is an integer number (7322576525568).

Almost surely, 2343223242322343 is an apocalyptic number.

343223242322343 is a deficient number, since it is larger than the sum of its proper divisors (125421655314009).

343223242322343 is a wasteful number, since it uses less digits than its factorization.

343223242322343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24944.

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

The spelling of 343223242322343 in words is "three hundred forty-three trillion, two hundred twenty-three billion, two hundred forty-two million, three hundred twenty-two thousand, three hundred forty-three".

Divisors: 1 3 73 137 219 411 653 751 1959 2253 10001 23327 30003 47669 54823 69981 89461 102887 143007 164469 268383 308661 490403 1471209 1702871 3195799 5108613 6530653 7510751 9587397 15232531 17518577 19591959 22532253 35799419 45697593 52555731 67185211 107398257 201555633 233293327 699879981 1111974763 1278856121 2086856747 2400045049 3335924289 3836568363 4904520403 6260570241 7200135147 11439630781 14713561209 34318892343 152340542531 175203288577 457021627593 525609865731 835093047013 1567229416997 2505279141039 4701688250991 114407747440781 343223242322343