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343411342342420 = 2251110154128567571
BaseRepresentation
bin100111000010101001010111…
…1000100100111100100010100
31200000220210200220022221100211
41032011102233010213210110
5330002422412114424140
63214212554234015204
7132222436125156502
oct11605225704474424
91600823626287324
10343411342342420
119a46aa29045380
1232623503877504
1311980720969a11
1460b32aa513672
1529a7db532c2ea
hex13854af127914

343411342342420 has 96 divisors (see below), whose sum is σ = 795982143825792. Its totient is φ = 123411902400000.

The previous prime is 343411342342391. The next prime is 343411342342441. The reversal of 343411342342420 is 24243243114343.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2262766 + ... + 26304805.

It is an arithmetic number, because the mean of its divisors is an integer number (8291480664852).

Almost surely, 2343411342342420 is an apocalyptic number.

It is an amenable number.

343411342342420 is an abundant number, since it is smaller than the sum of its proper divisors (452570801483372).

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

343411342342420 is a wasteful number, since it uses less digits than its factorization.

343411342342420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28568233 (or 28568231 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 343411342342420 its reverse (24243243114343), we get a palindrome (367654585456763).

The spelling of 343411342342420 in words is "three hundred forty-three trillion, four hundred eleven billion, three hundred forty-two million, three hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 541 1010 1082 1111 2020 2164 2222 2705 4444 5410 5555 5951 10820 11110 11902 22220 23804 29755 54641 59510 109282 119020 218564 273205 546410 601051 1092820 1202102 2404204 3005255 6010510 12021020 28567571 57135142 114270284 142837855 285675710 314243281 571351420 628486562 1256973124 1571216405 2885324671 3142432810 5770649342 6284865620 11541298684 14426623355 15455055911 28853246710 30910111822 31738571381 57706493420 61820223644 63477142762 77275279555 126954285524 154550559110 158692856905 170005615021 309101118220 317385713810 340011230042 634771427620 680022460084 850028075105 1560960647011 1700056150210 3121921294022 3400112300420 6243842588044 7804803235055 15609606470110 17170567117121 31219212940220 34341134234242 68682268468484 85852835585605 171705671171210 343411342342420