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343004540241 = 31119228792457
BaseRepresentation
bin1001111110111001010…
…10011110110101010001
31012210100120120000121210
410333130222132311101
521104433130241431
6421324001410333
733531654325566
oct4773452366521
91183316500553
10343004540241
11122516136950
12565876399a9
13264644c511c
141285c77886d
158dc7d34d46
hex4fdca9ed51

343004540241 has 24 divisors (see below), whose sum is σ = 526556471904. Its totient is φ = 196940399040.

The previous prime is 343004540233. The next prime is 343004540251. The reversal of 343004540241 is 142045400343.

It is not a de Polignac number, because 343004540241 - 23 = 343004540233 is a prime.

It is a super-2 number, since 2×3430045402412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 343004540199 and 343004540208.

It is not an unprimeable number, because it can be changed into a prime (343004540251) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14384316 + ... + 14408141.

It is an arithmetic number, because the mean of its divisors is an integer number (21939852996).

Almost surely, 2343004540241 is an apocalyptic number.

It is an amenable number.

343004540241 is a deficient number, since it is larger than the sum of its proper divisors (183551931663).

343004540241 is a wasteful number, since it uses less digits than its factorization.

343004540241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28792509 (or 28792490 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 343004540241 its reverse (142045400343), we get a palindrome (485049940584).

The spelling of 343004540241 in words is "three hundred forty-three billion, four million, five hundred forty thousand, two hundred forty-one".

Divisors: 1 3 11 19 33 57 209 361 627 1083 3971 11913 28792457 86377371 316717027 547056683 950151081 1641170049 6017623513 10394076977 18052870539 31182230931 114334846747 343004540241