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34243634243 = 7131133330121
BaseRepresentation
bin11111111001000101…
…000110010001000011
310021101111102212011202
4133321011012101003
51030112332243433
623421543531415
72321406042230
oct377105062103
9107344385152
1034243634243
1113582703275
126778159b6b
1332c960a890
14192bc9c787
15d56476ee8
hex7f9146443

34243634243 has 16 divisors (see below), whose sum is σ = 42518997696. Its totient is φ = 26854087680.

The previous prime is 34243634221. The next prime is 34243634303.

34243634243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34243634243 - 212 = 34243630147 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34243634197 and 34243634206.

It is not an unprimeable number, because it can be changed into a prime (34243634743) 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 15 ways as a sum of consecutive naturals, for example, 1654778 + ... + 1675343.

It is an arithmetic number, because the mean of its divisors is an integer number (2657437356).

Almost surely, 234243634243 is an apocalyptic number.

34243634243 is a deficient number, since it is larger than the sum of its proper divisors (8275363453).

34243634243 is a wasteful number, since it uses less digits than its factorization.

34243634243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330254.

The product of its digits is 497664, while the sum is 38.

The spelling of 34243634243 in words is "thirty-four billion, two hundred forty-three million, six hundred thirty-four thousand, two hundred forty-three".

Divisors: 1 7 13 91 113 791 1469 10283 3330121 23310847 43291573 303041011 376303673 2634125711 4891947749 34243634243