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343032214344 = 2334710324112251
BaseRepresentation
bin1001111110111100101…
…00000011001101001000
31012210102111122000100120
410333132110003031020
521110012221324334
6421330430503240
733532441466241
oct4773624031510
91183374560316
10343032214344
1112252a818906
1256594964b20
132646a164531
14128622ddcc8
158dca49e949
hex4fde503348

343032214344 has 128 divisors (see below), whose sum is σ = 888072007680. Its totient is φ = 110355840000.

The previous prime is 343032214313. The next prime is 343032214361. The reversal of 343032214344 is 443412230343.

It is a happy number.

It is a super-2 number, since 2×3430322143442 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27994219 + ... + 28006469.

It is an arithmetic number, because the mean of its divisors is an integer number (6938062560).

Almost surely, 2343032214344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343032214344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444036003840).

343032214344 is an abundant number, since it is smaller than the sum of its proper divisors (545039793336).

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

343032214344 is a wasteful number, since it uses less digits than its factorization.

343032214344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12651 (or 12647 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 343032214344 its reverse (443412230343), we get a palindrome (786444444687).

The spelling of 343032214344 in words is "three hundred forty-three billion, thirty-two million, two hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 47 94 103 141 188 206 241 282 309 376 412 482 564 618 723 824 964 1128 1236 1446 1928 2472 2892 4841 5784 9682 11327 12251 14523 19364 22654 24502 24823 29046 33981 36753 38728 45308 49004 49646 58092 67962 73506 74469 90616 98008 99292 116184 135924 147012 148938 198584 271848 294024 297876 575797 595752 1151594 1166681 1261853 1727391 2303188 2333362 2523706 2952491 3454782 3500043 3785559 4606376 4666724 5047412 5904982 6909564 7000086 7571118 8857473 9333448 10094824 11809964 13819128 14000172 15142236 17714946 23619928 28000344 30284472 35429892 59307091 70859784 118614182 138767077 177921273 237228364 277534154 304106573 355842546 416301231 474456728 555068308 608213146 711685092 832602462 912319719 1110136616 1216426292 1423370184 1665204924 1824639438 2432852584 3330409848 3649278876 7298557752 14293008931 28586017862 42879026793 57172035724 85758053586 114344071448 171516107172 343032214344