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3640648 = 231123761
BaseRepresentation
bin1101111000110101001000
320211222000211
431320311020
51413000043
6210010504
742642064
oct15706510
96758024
103640648
112067300
121276a34
139a613b
146aaaa4
154bda9d
hex378d48

3640648 has 24 divisors (see below), whose sum is σ = 7505190. Its totient is φ = 1654400.

The previous prime is 3640643. The next prime is 3640649. The reversal of 3640648 is 8460463.

3640648 is digitally balanced in base 2, 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., 3175524 + 465124 = 1782^2 + 682^2 .

It is a super-3 number, since 3×36406483 (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3640643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 913 + ... + 2848.

Almost surely, 23640648 is an apocalyptic number.

It is an amenable number.

3640648 is an abundant number, since it is smaller than the sum of its proper divisors (3864542).

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

3640648 is a wasteful number, since it uses less digits than its factorization.

3640648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3789 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 3640648 is about 1908.0482174201. The cubic root of 3640648 is about 153.8365612993.

The spelling of 3640648 in words is "three million, six hundred forty thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 3761 7522 15044 30088 41371 82742 165484 330968 455081 910162 1820324 3640648