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3426827742 = 2331337131933
BaseRepresentation
bin1100110001000001…
…0011110111011110
322211211011212221000
43030100103313132
524004231441432
61324012451130
7150630361302
oct31420236736
98754155830
103426827742
1114a939a448
127b7779aa6
13427c59c30
14247191d02
15150ca657c
hexcc413dde

3426827742 has 64 divisors (see below), whose sum is σ = 8422666560. Its totient is φ = 1025903232.

The previous prime is 3426827741. The next prime is 3426827749. The reversal of 3426827742 is 2477286243.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3426827741) 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 31 ways as a sum of consecutive naturals, for example, 39993 + ... + 91940.

It is an arithmetic number, because the mean of its divisors is an integer number (131604165).

Almost surely, 23426827742 is an apocalyptic number.

3426827742 is an abundant number, since it is smaller than the sum of its proper divisors (4995838818).

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

3426827742 is a wasteful number, since it uses less digits than its factorization.

3426827742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131994 (or 131988 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The square root of 3426827742 is about 58539.1129246079. The cubic root of 3426827742 is about 1507.6392129055.

The spelling of 3426827742 in words is "three billion, four hundred twenty-six million, eight hundred twenty-seven thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 37 39 54 74 78 111 117 222 234 333 351 481 666 702 962 999 1443 1998 2886 4329 8658 12987 25974 131933 263866 395799 791598 1187397 1715129 2374794 3430258 3562191 4881521 5145387 7124382 9763042 10290774 14644563 15436161 29289126 30872322 43933689 46308483 63459773 87867378 92616966 126919546 131801067 190379319 263602134 380758638 571137957 1142275914 1713413871 3426827742