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3945344 = 27132371
BaseRepresentation
bin1111000011001110000000
321102102222212
433003032000
52002222334
6220321252
745351314
oct17031600
97372885
103945344
112255217
1213a3228
13a81a30
14749b44
1552dece
hex3c3380

3945344 has 32 divisors (see below), whose sum is σ = 8468040. Its totient is φ = 1820160.

The previous prime is 3945341. The next prime is 3945349. The reversal of 3945344 is 4435493.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3945344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3945341) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 479 + ... + 2849.

Almost surely, 23945344 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 3945344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4234020).

3945344 is an abundant number, since it is smaller than the sum of its proper divisors (4522696).

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

3945344 is a wasteful number, since it uses less digits than its factorization.

3945344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2386 counting only the distinct ones).

The product of its digits is 25920, while the sum is 32.

The square root of 3945344 is about 1986.2890021344. The cubic root of 3945344 is about 158.0137786414.

The spelling of 3945344 in words is "three million, nine hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 2371 4742 9484 18968 30823 37936 61646 75872 123292 151744 246584 303488 493168 986336 1972672 3945344