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343401541441 = 71719367421983
BaseRepresentation
bin1001111111101000101…
…00111010111101000001
31012211101020120202212221
410333310110322331001
521111241243311231
6421431222451041
733544544640520
oct4776424727501
91184336522787
10343401541441
111226aa243812
1256678593a81
13264c882678a
141289939c4b7
158decb04d11
hex4ff453af41

343401541441 has 64 divisors (see below), whose sum is σ = 440096440320. Its totient is φ = 260846853120.

The previous prime is 343401541433. The next prime is 343401541489. The reversal of 343401541441 is 144145104343.

It is not a de Polignac number, because 343401541441 - 23 = 343401541433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 343401541397 and 343401541406.

It is not an unprimeable number, because it can be changed into a prime (343401581441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 349339836 + ... + 349340818.

It is an arithmetic number, because the mean of its divisors is an integer number (6876506880).

Almost surely, 2343401541441 is an apocalyptic number.

It is an amenable number.

343401541441 is a deficient number, since it is larger than the sum of its proper divisors (96694898879).

343401541441 is a wasteful number, since it uses less digits than its factorization.

343401541441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814.

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 343401541441 its reverse (144145104343), we get a palindrome (487546645784).

The spelling of 343401541441 in words is "three hundred forty-three billion, four hundred one million, five hundred forty-one thousand, four hundred forty-one".

Divisors: 1 7 17 19 119 133 323 367 421 983 2261 2569 2947 6239 6881 6973 7157 7999 16711 18677 43673 48811 50099 55993 116977 118541 130739 135983 154507 317509 360761 413843 829787 951881 1081549 2222563 2525327 2626619 2896901 2935633 6132937 6854459 7035331 7863017 18386333 20549431 42930559 47981213 49247317 49905761 55041119 116525803 133671289 151880381 349340327 815680621 935699023 1063162667 2581966477 2885727239 18073765339 20200090673 49057363063 343401541441