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424064 = 273313
BaseRepresentation
bin1100111100010000000
3210112201002
41213202000
5102032224
613031132
73414224
oct1474200
9715632
10424064
1126a673
121854a8
1311b034
14b0784
15859ae
hex67880

424064 has 16 divisors (see below), whose sum is σ = 845070. Its totient is φ = 211968.

The previous prime is 424037. The next prime is 424079. The reversal of 424064 is 460424.

424064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 270400 + 153664 = 520^2 + 392^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 424064.

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 as a sum of consecutive naturals, namely, 1529 + ... + 1784.

2424064 is an apocalyptic number.

It is an amenable number.

424064 is a deficient number, since it is larger than the sum of its proper divisors (421006).

424064 is an equidigital number, since it uses as much as digits as its factorization.

424064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327 (or 3315 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 424064 is about 651.2019655990. The cubic root of 424064 is about 75.1294948044.

Adding to 424064 its reverse (460424), we get a palindrome (884488).

The spelling of 424064 in words is "four hundred twenty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 3313 6626 13252 26504 53008 106016 212032 424064