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343245542343 = 31189167699817
BaseRepresentation
bin1001111111010110000…
…01110101001111000111
31012210222101001012100120
410333223001311033013
521110431324323333
6421403531113023
733540641653614
oct4775301651707
91183871035316
10343245542343
1112262a184340
12566342a2773
13264a2407112
141288279150b
158dde08cdb3
hex4feb0753c7

343245542343 has 32 divisors (see below), whose sum is σ = 507899911680. Its totient is φ = 204458242560.

The previous prime is 343245542273. The next prime is 343245542441.

343245542343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 343245542343 - 228 = 342977106887 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 343245542295 and 343245542304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343245541343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140571 + ... + 840387.

It is an arithmetic number, because the mean of its divisors is an integer number (15871872240).

Almost surely, 2343245542343 is an apocalyptic number.

343245542343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

343245542343 is a deficient number, since it is larger than the sum of its proper divisors (164654369337).

343245542343 is a wasteful number, since it uses less digits than its factorization.

343245542343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700087.

The product of its digits is 2073600, while the sum is 42.

It can be divided in two parts, 343245 and 542343, that added together give a palindrome (885588).

The spelling of 343245542343 in words is "three hundred forty-three billion, two hundred forty-five million, five hundred forty-two thousand, three hundred forty-three".

Divisors: 1 3 11 33 89 167 267 501 979 1837 2937 5511 14863 44589 163493 490479 699817 2099451 7697987 23093961 62283713 116869439 186851139 350608317 685120843 1285563829 2055362529 3856691487 10401380071 31204140213 114415180781 343245542343