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6344071074 = 23211313892657
BaseRepresentation
bin1011110100010001…
…01101011110100010
3121101010111012110100
411322020231132202
5100443040233244
62525303243230
7313132500015
oct57210553642
917333435410
106344071074
112766076550
121290749516
137a1457413
144427b537c
15271e4eb69
hex17a22d7a2

6344071074 has 96 divisors (see below), whose sum is σ = 15524421120. Its totient is φ = 1854950400.

The previous prime is 6344071073. The next prime is 6344071079. The reversal of 6344071074 is 4701704436.

It is a happy number.

6344071074 is a `hidden beast` number, since 634 + 4 + 0 + 7 + 10 + 7 + 4 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6344071073) 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 47 ways as a sum of consecutive naturals, for example, 2386354 + ... + 2389010.

It is an arithmetic number, because the mean of its divisors is an integer number (161712720).

Almost surely, 26344071074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6344071074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7762210560).

6344071074 is an abundant number, since it is smaller than the sum of its proper divisors (9180350046).

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

6344071074 is a wasteful number, since it uses less digits than its factorization.

6344071074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 6344071074 is about 79649.6771744870. The cubic root of 6344071074 is about 1851.2113881483.

The spelling of 6344071074 in words is "six billion, three hundred forty-four million, seventy-one thousand, seventy-four".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 389 558 682 778 1023 1167 2046 2334 2657 3069 3501 4279 5314 6138 7002 7971 8558 12059 12837 15942 23913 24118 25674 29227 36177 38511 47826 58454 72354 77022 82367 87681 108531 132649 164734 175362 217062 247101 263043 265298 397947 494202 526086 741303 795894 906037 1033573 1193841 1482606 1812074 2067146 2387682 2718111 3100719 5436222 6201438 8154333 9302157 11369303 16308666 18604314 22738606 32040763 34107909 64081526 68215818 96122289 102323727 192244578 204647454 288366867 352448393 576733734 704896786 1057345179 2114690358 3172035537 6344071074