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1678343560 = 235313134053
BaseRepresentation
bin110010000001001…
…0111110110001000
311022222002200112121
41210002113312020
511414123443220
6434312421024
756406453625
oct14402276610
94288080477
101678343560
117914213a3
123aa0a7774
132099361ca
1411cc8934c
159c526eaa
hex64097d88

1678343560 has 32 divisors (see below), whose sum is σ = 3788366040. Its totient is φ = 669187584.

The previous prime is 1678343543. The next prime is 1678343561. The reversal of 1678343560 is 653438761.

It can be written as a sum of positive squares in 4 ways, for example, as 452923524 + 1225420036 = 21282^2 + 35006^2 .

It is not an unprimeable number, because it can be changed into a prime (1678343561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54507 + ... + 79546.

Almost surely, 21678343560 is an apocalyptic number.

1678343560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1678343560 is an abundant number, since it is smaller than the sum of its proper divisors (2110022480).

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

1678343560 is a wasteful number, since it uses less digits than its factorization.

1678343560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134377 (or 134373 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The square root of 1678343560 is about 40967.5915816393. The cubic root of 1678343560 is about 1188.3935577056.

The spelling of 1678343560 in words is "one billion, six hundred seventy-eight million, three hundred forty-three thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 313 626 1252 1565 2504 3130 6260 12520 134053 268106 536212 670265 1072424 1340530 2681060 5362120 41958589 83917178 167834356 209792945 335668712 419585890 839171780 1678343560