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768209349 = 31924775441
BaseRepresentation
bin101101110010011…
…111000111000101
31222112112002010010
4231302133013011
53033130144344
6204121220433
725015446255
oct5562370705
91875462103
10768209349
113646a8066
12195331719
13c3201b5b
1474051965
15476978b9
hex2dc9f1c5

768209349 has 16 divisors (see below), whose sum is σ = 1078822080. Its totient is φ = 484899840.

The previous prime is 768209339. The next prime is 768209353. The reversal of 768209349 is 943902867.

It is not a de Polignac number, because 768209349 - 28 = 768209093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 768209298 and 768209307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768209339) 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 15 ways as a sum of consecutive naturals, for example, 138469 + ... + 143909.

It is an arithmetic number, because the mean of its divisors is an integer number (67426380).

Almost surely, 2768209349 is an apocalyptic number.

It is an amenable number.

768209349 is a deficient number, since it is larger than the sum of its proper divisors (310612731).

768209349 is a wasteful number, since it uses less digits than its factorization.

768209349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7940.

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 768209349 is about 27716.5897794083. The cubic root of 768209349 is about 915.8545964768.

The spelling of 768209349 in words is "seven hundred sixty-eight million, two hundred nine thousand, three hundred forty-nine".

Divisors: 1 3 19 57 2477 5441 7431 16323 47063 103379 141189 310137 13477357 40432071 256069783 768209349