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343134123320040 = 233513331664524989
BaseRepresentation
bin100111000000101000010001…
…1100001111110001011101000
31122222221022011000211110222120
41032001100203201332023220
5324433402141032220130
63213441350132151240
7132163423311311403
oct11601204341761350
91588838130743876
10343134123320040
119a373401142808
1232599837768520
1311960541712830
1460a3accb68d3a
1529a0a8cb17910
hex138142387e2e8

343134123320040 has 128 divisors (see below), whose sum is σ = 1111936375267200. Its totient is φ = 84208606479360.

The previous prime is 343134123320029. The next prime is 343134123320041. The reversal of 343134123320040 is 40023321431343.

It is a happy number.

It is a super-2 number, since 2×3431341233200402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 343134123319983 and 343134123320010.

It is not an unprimeable number, because it can be changed into a prime (343134123320041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331746135 + ... + 332778854.

It is an arithmetic number, because the mean of its divisors is an integer number (8687002931775).

Almost surely, 2343134123320040 is an apocalyptic number.

343134123320040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343134123320040 is an abundant number, since it is smaller than the sum of its proper divisors (768802251947160).

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

343134123320040 is a wasteful number, since it uses less digits than its factorization.

343134123320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664525347 (or 664525343 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 343134123320040 its reverse (40023321431343), we get a palindrome (383157444751383).

The spelling of 343134123320040 in words is "three hundred forty-three trillion, one hundred thirty-four billion, one hundred twenty-three million, three hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 331 390 520 662 780 993 1324 1560 1655 1986 2648 3310 3972 4303 4965 6620 7944 8606 9930 12909 13240 17212 19860 21515 25818 34424 39720 43030 51636 64545 86060 103272 129090 172120 258180 516360 664524989 1329049978 1993574967 2658099956 3322624945 3987149934 5316199912 6645249890 7974299868 8638824857 9967874835 13290499780 15948599736 17277649714 19935749670 25916474571 26580999560 34555299428 39871499340 43194124285 51832949142 69110598856 79742998680 86388248570 103665898284 129582372855 172776497140 207331796568 219957771359 259164745710 345552994280 439915542718 518329491420 659873314077 879831085436 1036658982840 1099788856795 1319746628154 1759662170872 2199577713590 2639493256308 2859451027667 3299366570385 4399155427180 5278986512616 5718902055334 6598733140770 8578353083001 8798310854360 11437804110668 13197466281540 14297255138335 17156706166002 22875608221336 26394932563080 28594510276670 34313412332004 42891765415005 57189020553340 68626824664008 85783530830010 114378041106680 171567061660020 343134123320040