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6342348606 = 2311594313779
BaseRepresentation
bin1011110100000100…
…01000111100111110
3121101000020200200020
411322002020330332
5100442120123411
62525202313010
7313112034156
oct57202107476
917330220606
106342348606
1127650aa420
121290058766
137a0ca33c9
14442487766
15271c0e606
hex17a088f3e

6342348606 has 64 divisors (see below), whose sum is σ = 14108774400. Its totient is φ = 1884466400.

The previous prime is 6342348587. The next prime is 6342348643. The reversal of 6342348606 is 6068432436.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1676425 + ... + 1680203.

It is an arithmetic number, because the mean of its divisors is an integer number (220449600).

Almost surely, 26342348606 is an apocalyptic number.

6342348606 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6342348606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7054387200).

6342348606 is an abundant number, since it is smaller than the sum of its proper divisors (7766425794).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6342348606 is a wasteful number, since it uses less digits than its factorization.

6342348606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4285.

The product of its (nonzero) digits is 497664, while the sum is 42.

The square root of 6342348606 is about 79638.8636659263. The cubic root of 6342348606 is about 1851.0438332262.

The spelling of 6342348606 in words is "six billion, three hundred forty-two million, three hundred forty-eight thousand, six hundred six".

Divisors: 1 2 3 6 11 22 33 59 66 118 177 354 431 649 862 1293 1298 1947 2586 3779 3894 4741 7558 9482 11337 14223 22674 25429 28446 41569 50858 76287 83138 124707 152574 222961 249414 279719 445922 559438 668883 839157 1337766 1628749 1678314 2452571 3257498 4886247 4905142 7357713 9772494 14715426 17916239 35832478 53748717 96096191 107497434 192192382 288288573 576577146 1057058101 2114116202 3171174303 6342348606