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3644 = 22911
BaseRepresentation
bin111000111100
311222222
4320330
5104034
624512
713424
oct7074
94888
103644
112813
122138
131874
141484
15112e
hexe3c

3644 has 6 divisors (see below), whose sum is σ = 6384. Its totient is φ = 1820.

The previous prime is 3643. The next prime is 3659. The reversal of 3644 is 4463.

3644 = T4 + T5 + ... + T27.

It is a fibodiv number, since the Fibonacci-like sequence with seeds 36 and 44 contains 3644 itself.

3644 is a modest number, since divided by 44 gives 36 as remainder.

It is a plaindrome in base 3, base 9 and base 15.

It is a zygodrome in base 2 and base 3.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3644.

It is not an unprimeable number, because it can be changed into a prime (3643) by changing a digit.

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, 452 + ... + 459.

It is an arithmetic number, because the mean of its divisors is an integer number (1064).

It is an amenable number.

3644 is a deficient number, since it is larger than the sum of its proper divisors (2740).

3644 is a wasteful number, since it uses less digits than its factorization.

3644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 913 counting only the distinct ones).

The product of its digits is 288, while the sum is 17.

The square root of 3644 is about 60.3655530911. The cubic root of 3644 is about 15.3883760038.

The spelling of 3644 in words is "three thousand, six hundred forty-four".

Divisors: 1 2 4 911 1822 3644