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8394640 = 245104933
BaseRepresentation
bin100000000001…
…011110010000
3120210111021121
4200001132100
54122112030
6455532024
7131232112
oct40013620
916714247
108394640
114814021
12298a014
13197bc57
1411873b2
15b0c47a
hex801790

8394640 has 20 divisors (see below), whose sum is σ = 19517724. Its totient is φ = 3357824.

The previous prime is 8394613. The next prime is 8394643. The reversal of 8394640 is 464938.

It can be written as a sum of positive squares in 2 ways, for example, as 3519376 + 4875264 = 1876^2 + 2208^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 8394596 and 8394605.

It is not an unprimeable number, because it can be changed into a prime (8394643) by changing a digit.

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, 52387 + ... + 52546.

Almost surely, 28394640 is an apocalyptic number.

8394640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8394640 is an abundant number, since it is smaller than the sum of its proper divisors (11123084).

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

8394640 is a wasteful number, since it uses less digits than its factorization.

8394640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104946 (or 104940 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 8394640 is about 2897.3505138316. The cubic root of 8394640 is about 203.2360249849.

The spelling of 8394640 in words is "eight million, three hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 104933 209866 419732 524665 839464 1049330 1678928 2098660 4197320 8394640