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343230201342 = 232767197206383
BaseRepresentation
bin1001111111010100001…
…11010011110111111110
31012210221022011210110100
410333222013103313332
521110413412420332
6421402222221530
733540364400640
oct4775207236776
91183838153410
10343230201342
11122621556426
125662b1248a6
132649c1954c2
141288071a890
158ddca5c67c
hex4fea1d3dfe

343230201342 has 96 divisors (see below), whose sum is σ = 866971302912. Its totient is φ = 96111271872.

The previous prime is 343230201329. The next prime is 343230201343. The reversal of 343230201342 is 243102032343.

343230201342 is a `hidden beast` number, since 343 + 2 + 302 + 0 + 13 + 4 + 2 = 666.

It is a super-2 number, since 2×3432302013422 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343230201343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1559883 + ... + 1766265.

It is an arithmetic number, because the mean of its divisors is an integer number (9030951072).

Almost surely, 2343230201342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343230201342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433485651456).

343230201342 is an abundant number, since it is smaller than the sum of its proper divisors (523741101570).

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

343230201342 is a wasteful number, since it uses less digits than its factorization.

343230201342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206662 (or 206659 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 343230201342 its reverse (243102032343), we get a palindrome (586332233685).

The spelling of 343230201342 in words is "three hundred forty-three billion, two hundred thirty million, two hundred one thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 197 201 394 402 469 591 603 938 1182 1206 1379 1407 1773 2758 2814 3546 4137 4221 8274 8442 12411 13199 24822 26398 39597 79194 92393 118791 184786 206383 237582 277179 412766 554358 619149 831537 1238298 1444681 1663074 1857447 2889362 3714894 4334043 8668086 13002129 13827661 26004258 27655322 40657451 41482983 81314902 82965966 96793627 121972353 124448949 193587254 243944706 248897898 284602157 290380881 365917059 569204314 580761762 731834118 853806471 871142643 1707612942 1742285286 2561419413 2724049217 5122838826 5448098434 8172147651 16344295302 19068344519 24516442953 38136689038 49032885906 57205033557 114410067114 171615100671 343230201342