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344254510241 = 2573174225589
BaseRepresentation
bin1010000001001110010…
…10101111010010100001
31012220120200121002002222
411000213022233102201
521120013123311431
6422052012520425
733604643025155
oct5004712572241
91186520532088
10344254510241
11122aa7772904
1256876180115
1326603464145
141293a795065
158e4c94157b
hex50272af4a1

344254510241 has 8 divisors (see below), whose sum is σ = 346684305960. Its totient is φ = 341833166848.

The previous prime is 344254510211. The next prime is 344254510247. The reversal of 344254510241 is 142015452443.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1448944225 + 342805566016 = 38065^2 + 585496^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 344254510241 - 226 = 344187401377 is a prime.

It is a super-2 number, since 2×3442545102412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (344254510247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2031326 + ... + 2194263.

It is an arithmetic number, because the mean of its divisors is an integer number (43335538245).

Almost surely, 2344254510241 is an apocalyptic number.

It is an amenable number.

344254510241 is a deficient number, since it is larger than the sum of its proper divisors (2429795719).

344254510241 is a wasteful number, since it uses less digits than its factorization.

344254510241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4226163.

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 344254510241 its reverse (142015452443), we get a palindrome (486269962684).

The spelling of 344254510241 in words is "three hundred forty-four billion, two hundred fifty-four million, five hundred ten thousand, two hundred forty-one".

Divisors: 1 257 317 81469 4225589 1085976373 1339511713 344254510241