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34809768 = 2332769067
BaseRepresentation
bin1000010011001…
…0011110101000
32102111112000200
42010302132220
532402403033
63242032200
7601610130
oct204623650
972445020
1034809768
1118716104
12b7a8660
13729a2c6
1448a1ac0
1530c9013
hex21327a8

34809768 has 48 divisors (see below), whose sum is σ = 107746080. Its totient is φ = 9945504.

The previous prime is 34809757. The next prime is 34809781. The reversal of 34809768 is 86790843.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34030 + ... + 35037.

It is an arithmetic number, because the mean of its divisors is an integer number (2244710).

Almost surely, 234809768 is an apocalyptic number.

It is an amenable number.

34809768 is an abundant number, since it is smaller than the sum of its proper divisors (72936312).

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

34809768 is a wasteful number, since it uses less digits than its factorization.

34809768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69086 (or 69079 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 34809768 is about 5899.9803389503. The cubic root of 34809768 is about 326.5129240905.

The spelling of 34809768 in words is "thirty-four million, eight hundred nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 69067 138134 207201 276268 414402 483469 552536 621603 828804 966938 1243206 1450407 1657608 1933876 2486412 2900814 3867752 4351221 4972824 5801628 8702442 11603256 17404884 34809768