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343231132341 = 3193121124363
BaseRepresentation
bin1001111111010100010…
…10110111001010110101
31012210221100221002112210
410333222022313022311
521110414132213331
6421402254204033
733540405326136
oct4775212671265
91183840832483
10343231132341
11122622031949
125662b4b3619
132649c4301a6
14128808bdc8d
158ddcb93446
hex4fea2b72b5

343231132341 has 48 divisors (see below), whose sum is σ = 499749918720. Its totient is φ = 208742637600.

The previous prime is 343231132333. The next prime is 343231132357. The reversal of 343231132341 is 143231132343.

It is not a de Polignac number, because 343231132341 - 23 = 343231132333 is a prime.

It is a super-2 number, since 2×3432311323412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 343231132299 and 343231132308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343231132841) 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 47 ways as a sum of consecutive naturals, for example, 78666426 + ... + 78670788.

It is an arithmetic number, because the mean of its divisors is an integer number (10411456640).

Almost surely, 2343231132341 is an apocalyptic number.

343231132341 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

343231132341 is a deficient number, since it is larger than the sum of its proper divisors (156518786379).

343231132341 is a wasteful number, since it uses less digits than its factorization.

343231132341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4838 (or 4627 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

Adding to 343231132341 its reverse (143231132343), we get a palindrome (486462264684).

The spelling of 343231132341 in words is "three hundred forty-three billion, two hundred thirty-one million, one hundred thirty-two thousand, three hundred forty-one".

Divisors: 1 3 19 31 57 93 211 589 633 1767 4009 4363 6541 12027 13089 19623 44521 82897 124279 133563 135253 248691 372837 405759 845899 920593 1380151 2537697 2569807 2761779 4140453 7709421 17491267 26222869 28538383 52473801 78668607 85615149 194245123 542229277 582735369 1626687831 3690657337 6021598813 11071972011 18064796439 114410377447 343231132341