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34107680 = 255213173
BaseRepresentation
bin1000001000011…
…1000100100000
32101011211221102
42002013010200
532212421210
63215013532
7562624205
oct202070440
971154842
1034107680
1118286672
12b50a2a8
1370b2879
14475bcac
152edaea5
hex2087120

34107680 has 24 divisors (see below), whose sum is σ = 80579772. Its totient is φ = 13643008.

The previous prime is 34107631. The next prime is 34107691. The reversal of 34107680 is 8670143.

It can be written as a sum of positive squares in 2 ways, for example, as 33131536 + 976144 = 5756^2 + 988^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106427 + ... + 106746.

Almost surely, 234107680 is an apocalyptic number.

It is an amenable number.

34107680 is an abundant number, since it is smaller than the sum of its proper divisors (46472092).

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

34107680 is a wasteful number, since it uses less digits than its factorization.

34107680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213188 (or 213180 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 34107680 is about 5840.1780794767. The cubic root of 34107680 is about 324.3028210868.

The spelling of 34107680 in words is "thirty-four million, one hundred seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 213173 426346 852692 1065865 1705384 2131730 3410768 4263460 6821536 8526920 17053840 34107680