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343335514242 = 237231273837307
BaseRepresentation
bin1001111111100000110…
…01000011000010000010
31012211012122100020121010
410333300121003002002
521111122342423432
6421420503341350
733543113501430
oct4776031030202
91184178306533
10343335514242
11122675a46586
125665a451856
13264b7c49326
14128906d1d50
158de6e113cc
hex4ff0643082

343335514242 has 128 divisors (see below), whose sum is σ = 827603288064. Its totient is φ = 92836231488.

The previous prime is 343335514231. The next prime is 343335514243. The reversal of 343335514242 is 242415533343.

It is a self number, because there is not a number n which added to its sum of digits gives 343335514242.

It is not an unprimeable number, because it can be changed into a prime (343335514243) 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, 46983553 + ... + 46990859.

It is an arithmetic number, because the mean of its divisors is an integer number (6465650688).

Almost surely, 2343335514242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343335514242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413801644032).

343335514242 is an abundant number, since it is smaller than the sum of its proper divisors (484267773822).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

343335514242 is a wasteful number, since it uses less digits than its factorization.

343335514242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7852.

The product of its digits is 518400, while the sum is 39.

The spelling of 343335514242 in words is "three hundred forty-three billion, three hundred thirty-five million, five hundred fourteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 127 138 161 254 322 381 383 483 762 766 889 966 1149 1778 2298 2667 2681 2921 5334 5362 5842 7307 8043 8763 8809 14614 16086 17526 17618 20447 21921 26427 40894 43842 48641 51149 52854 61341 61663 97282 102298 122682 123326 145923 153447 168061 184989 291846 306894 336122 340487 369978 504183 680974 927989 1008366 1021461 1118743 1176427 1855978 2042922 2237486 2352854 2783967 2798581 3356229 3529281 5567934 5597162 6495923 6712458 7058562 7831201 8395743 12991846 15662402 16791486 19487769 19590067 21343747 23493603 38975538 39180134 42687494 46987206 58770201 64031241 64367363 117540402 128062482 128734726 149406229 193102089 298812458 355419787 386204178 448218687 450571541 710839574 896437374 901143082 1066259361 1351714623 2132518722 2487938509 2703429246 4975877018 7463815527 8174655101 14927631054 16349310202 24523965303 49047930606 57222585707 114445171414 171667757121 343335514242