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3673664 = 2661941
BaseRepresentation
bin1110000000111001000000
320220122022122
432000321000
51420024124
6210423412
743140251
oct16007100
96818278
103673664
11208a095
121291b68
139b8187
146b8b28
154c875e
hex380e40

3673664 has 28 divisors (see below), whose sum is σ = 7417308. Its totient is φ = 1804800.

The previous prime is 3673651. The next prime is 3673687. The reversal of 3673664 is 4663763.

It can be written as a sum of positive squares in 2 ways, for example, as 984064 + 2689600 = 992^2 + 1640^2 .

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 in 3 ways as a sum of consecutive naturals, for example, 3434 + ... + 4374.

Almost surely, 23673664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3673664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3708654).

3673664 is an abundant number, since it is smaller than the sum of its proper divisors (3743644).

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

3673664 is an equidigital number, since it uses as much as digits as its factorization.

3673664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1004 counting only the distinct ones).

The product of its digits is 54432, while the sum is 35.

The square root of 3673664 is about 1916.6804637185. The cubic root of 3673664 is about 154.3001959103.

Subtracting 3673664 from its reverse (4663763), we obtain a palindrome (990099).

The spelling of 3673664 in words is "three million, six hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 941 976 1882 1952 3764 3904 7528 15056 30112 57401 60224 114802 229604 459208 918416 1836832 3673664