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3643444 = 227229641
BaseRepresentation
bin1101111001100000110100
320212002212101
431321200310
51413042234
6210031444
742653200
oct15714064
96762771
103643444
112069412
121278584
139a74ac
146abb00
154be814
hex379834

3643444 has 36 divisors (see below), whose sum is σ = 7684740. Its totient is φ = 1505280.

The previous prime is 3643429. The next prime is 3643447. The reversal of 3643444 is 4443463.

3643444 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 2 ways, for example, as 2683044 + 960400 = 1638^2 + 980^2 .

It is a super-2 number, since 2×36434442 = 26549368362272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3643447) 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 11 ways as a sum of consecutive naturals, for example, 5364 + ... + 6004.

It is an arithmetic number, because the mean of its divisors is an integer number (213465).

Almost surely, 23643444 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 3643444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3842370).

3643444 is an abundant number, since it is smaller than the sum of its proper divisors (4041296).

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

3643444 is a wasteful number, since it uses less digits than its factorization.

3643444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 679 counting only the distinct ones).

The product of its digits is 13824, while the sum is 28.

The square root of 3643444 is about 1908.7807626860. The cubic root of 3643444 is about 153.8759331328.

The spelling of 3643444 in words is "three million, six hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 641 812 1282 1421 2564 2842 4487 5684 8974 17948 18589 31409 37178 62818 74356 125636 130123 260246 520492 910861 1821722 3643444