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6304064 = 26137577
BaseRepresentation
bin11000000011000101000000
3102212021112212
4120003011000
53103212224
6343041252
7104404124
oct30030500
912767485
106304064
113616378
122140228
1313c9520
14ba1584
15847d0e
hex603140

6304064 has 28 divisors (see below), whose sum is σ = 13473684. Its totient is φ = 2909184.

The previous prime is 6304057. The next prime is 6304079. The reversal of 6304064 is 4604036.

It can be written as a sum of positive squares in 2 ways, for example, as 350464 + 5953600 = 592^2 + 2440^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2957 + ... + 4620.

It is an arithmetic number, because the mean of its divisors is an integer number (481203).

Almost surely, 26304064 is an apocalyptic number.

6304064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6304064 is an abundant number, since it is smaller than the sum of its proper divisors (7169620).

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

6304064 is a wasteful number, since it uses less digits than its factorization.

6304064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7602 (or 7592 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 6304064 is about 2510.7895172634. The cubic root of 6304064 is about 184.7311800615.

The spelling of 6304064 in words is "six million, three hundred four thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 7577 15154 30308 60616 98501 121232 197002 242464 394004 484928 788008 1576016 3152032 6304064