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34244012341 = 71119113207139
BaseRepresentation
bin11111111001000110…
…100010100100110101
310021101112011001211101
4133321012202210311
51030112431343331
623422000010101
72321412205450
oct377106424465
9107345131741
1034244012341
1113582941350
126778300931
1332c97109c6
14192bd5a497
15d564ee061
hex7f91a2935

34244012341 has 32 divisors (see below), whose sum is σ = 45338803200. Its totient is φ = 25055412480.

The previous prime is 34244012321. The next prime is 34244012357. The reversal of 34244012341 is 14321044243.

It is not a de Polignac number, because 34244012341 - 211 = 34244010293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34244012321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61750 + ... + 268888.

It is an arithmetic number, because the mean of its divisors is an integer number (1416837600).

Almost surely, 234244012341 is an apocalyptic number.

It is an amenable number.

34244012341 is a deficient number, since it is larger than the sum of its proper divisors (11094790859).

34244012341 is a wasteful number, since it uses less digits than its factorization.

34244012341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207289.

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 34244012341 its reverse (14321044243), we get a palindrome (48565056584).

The spelling of 34244012341 in words is "thirty-four billion, two hundred forty-four million, twelve thousand, three hundred forty-one".

Divisors: 1 7 11 19 77 113 133 209 791 1243 1463 2147 8701 15029 23617 165319 207139 1449973 2278529 3935641 15949703 23406707 27549487 43292051 163846949 257473777 303044357 444727433 1802316439 3113092031 4892001763 34244012341