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34066465732 = 221323283100649
BaseRepresentation
bin11111101110100001…
…010000001111000100
310020221011001202200001
4133232201100033010
51024232003400412
623352214331044
72314125116035
oct375641201704
9106834052601
1034066465732
11134a16a4a12
126728959a84
13329b9b8740
141912540a8c
15d45b2c957
hex7ee8503c4

34066465732 has 48 divisors (see below), whose sum is σ = 67230979200. Its totient is φ = 14986084608.

The previous prime is 34066465723. The next prime is 34066465757. The reversal of 34066465732 is 23756466043.

It is a happy number.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

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 15 ways as a sum of consecutive naturals, for example, 288144 + ... + 388792.

It is an arithmetic number, because the mean of its divisors is an integer number (1400645400).

Almost surely, 234066465732 is an apocalyptic number.

It is an amenable number.

34066465732 is a deficient number, since it is larger than the sum of its proper divisors (33164513468).

34066465732 is a wasteful number, since it uses less digits than its factorization.

34066465732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100972 (or 100970 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 46.

The spelling of 34066465732 in words is "thirty-four billion, sixty-six million, four hundred sixty-five thousand, seven hundred thirty-two".

Divisors: 1 2 4 13 23 26 46 52 92 283 299 566 598 1132 1196 3679 6509 7358 13018 14716 26036 84617 100649 169234 201298 338468 402596 1308437 2314927 2616874 4629854 5233748 9259708 28483667 30094051 56967334 60188102 113934668 120376204 370287671 655124341 740575342 1310248682 1481150684 2620497364 8516616433 17033232866 34066465732