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343213222042040 = 23572719394507487
BaseRepresentation
bin100111000001001101000111…
…0001011101001100110111000
31200000012212022120000212222212
41032002122032023221212320
5324441201134320321130
63213541551052234252
7132202223410332350
oct11602321613514670
91600185276025885
10343213222042040
119a3a3a01324339
12325b103176b988
1311967b38bc434c
1460a7873d33b60
1529a2b6be05e95
hex138268e2e99b8

343213222042040 has 64 divisors (see below), whose sum is σ = 882551726438400. Its totient is φ = 117672645875328.

The previous prime is 343213222042013. The next prime is 343213222042121. The reversal of 343213222042040 is 40240222312343.

It is a junction number, because it is equal to n+sod(n) for n = 343213222041988 and 343213222042006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73889177 + ... + 78396663.

It is an arithmetic number, because the mean of its divisors is an integer number (13789870725600).

Almost surely, 2343213222042040 is an apocalyptic number.

It is an amenable number.

343213222042040 is an abundant number, since it is smaller than the sum of its proper divisors (539338504396360).

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

343213222042040 is a wasteful number, since it uses less digits than its factorization.

343213222042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4779444 (or 4779440 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 343213222042040 its reverse (40240222312343), we get a palindrome (383453444354383).

The spelling of 343213222042040 in words is "three hundred forty-three trillion, two hundred thirteen billion, two hundred twenty-two million, forty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 271939 543878 1087756 1359695 1903573 2175512 2719390 3807146 4507487 5438780 7614292 9014974 9517865 10877560 15228584 18029948 19035730 22537435 31552409 36059896 38071460 45074870 63104818 76142920 90149740 126209636 157762045 180299480 252419272 315524090 631048180 1262096360 1225761507293 2451523014586 4903046029172 6128807536465 8580330551051 9806092058344 12257615072930 17160661102102 24515230145860 34321322204204 42901652755255 49030460291720 68642644408408 85803305510510 171606611021020 343213222042040