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343313100204440 = 23517592145036543
BaseRepresentation
bin100111000001111011100111…
…1011000100110100110011000
31200000120102010020102020110212
41032003313033120212212120
5324444320212123020230
63214055505544030252
7132212360444604242
oct11603671730464630
91600512106366425
10343313100204440
119a4322a4a03003
1232608466762388
13119743953b5622
1460ac62ab1b092
1529a55655c5895
hex1383dcf626998

343313100204440 has 96 divisors (see below), whose sum is σ = 831990531732480. Its totient is φ = 127056651961344.

The previous prime is 343313100204397. The next prime is 343313100204461. The reversal of 343313100204440 is 44402001313343.

It is a junction number, because it is equal to n+sod(n) for n = 343313100204397 and 343313100204406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70151192 + ... + 74885351.

It is an arithmetic number, because the mean of its divisors is an integer number (8666568038880).

Almost surely, 2343313100204440 is an apocalyptic number.

It is an amenable number.

343313100204440 is an abundant number, since it is smaller than the sum of its proper divisors (488677431528040).

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

343313100204440 is a wasteful number, since it uses less digits than its factorization.

343313100204440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145036689 (or 145036626 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 343313100204440 its reverse (44402001313343), we get a palindrome (387715101517783).

The spelling of 343313100204440 in words is "three hundred forty-three trillion, three hundred thirteen billion, one hundred million, two hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 59 68 85 118 136 170 236 295 340 472 590 680 1003 1180 2006 2360 3481 4012 5015 6962 8024 10030 13924 17405 20060 27848 34810 40120 59177 69620 118354 139240 236708 295885 473416 591770 1183540 2367080 145036543 290073086 580146172 725182715 1160292344 1450365430 2465621231 2900730860 4931242462 5801461720 8557156037 9862484924 12328106155 17114312074 19724969848 24656212310 34228624148 42785780185 49312424620 68457248296 85571560370 98624849240 145471652629 171143120740 290943305258 342286241480 504872206183 581886610516 727358263145 1009744412366 1163773221032 1454716526290 2019488824732 2524361030915 2909433052580 4038977649464 5048722061830 5818866105160 8582827505111 10097444123660 17165655010222 20194888247320 34331310020444 42914137525555 68662620040888 85828275051110 171656550102220 343313100204440