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343041520000 = 27544319949
BaseRepresentation
bin1001111110111101101…
…11100011000110000000
31012210110011010210022111
410333132313203012000
521110022112120000
6421331402145104
733532613544364
oct4773667430600
91183404123274
10343041520000
11122534aa4333
1256597ab2194
132646c07203a
14128636432a4
158dcb1dbcba
hex4fdede3180

343041520000 has 160 divisors (see below), whose sum is σ = 856047852000. Its totient is φ = 136884480000.

The previous prime is 343041519949. The next prime is 343041520007. The reversal of 343041520000 is 25140343.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343041520007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34475026 + ... + 34484974.

It is an arithmetic number, because the mean of its divisors is an integer number (5350299075).

Almost surely, 2343041520000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343041520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428023926000).

343041520000 is an abundant number, since it is smaller than the sum of its proper divisors (513006332000).

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

343041520000 is an frugal number, since it uses more digits than its factorization.

343041520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10414 (or 10387 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 343041520000 its reverse (25140343), we get a palindrome (343066660343).

It can be divided in two parts, 343041 and 520000, that added together give a square (863041 = 9292).

The spelling of 343041520000 in words is "three hundred forty-three billion, forty-one million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 431 500 625 640 800 862 1000 1250 1600 1724 2000 2155 2500 3200 3448 4000 4310 5000 6896 8000 8620 9949 10000 10775 13792 16000 17240 19898 20000 21550 27584 34480 39796 40000 43100 49745 53875 55168 68960 79592 80000 86200 99490 107750 137920 159184 172400 198980 215500 248725 269375 275840 318368 344800 397960 431000 497450 538750 636736 689600 795920 862000 994900 1077500 1243625 1273472 1379200 1591840 1724000 1989800 2155000 2487250 3183680 3448000 3979600 4288019 4310000 4974500 6218125 6367360 6896000 7959200 8576038 8620000 9949000 12436250 15918400 17152076 17240000 19898000 21440095 24872500 31836800 34304152 34480000 39796000 42880190 49745000 68608304 79592000 85760380 99490000 107200475 137216608 159184000 171520760 198980000 214400950 274433216 343041520 397960000 428801900 536002375 548866432 686083040 795920000 857603800 1072004750 1372166080 1715207600 2144009500 2680011875 2744332160 3430415200 4288019000 5360023750 6860830400 8576038000 10720047500 13721660800 17152076000 21440095000 34304152000 42880190000 68608304000 85760380000 171520760000 343041520000