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3993344 = 2819821
BaseRepresentation
bin1111001110111100000000
321111212211122
433032330000
52010241334
6221331412
745641255
oct17167400
97455748
103993344
112288293
121406b68
13a9a834
1475d42c
1553d32e
hex3cef00

3993344 has 36 divisors (see below), whose sum is σ = 8400840. Its totient is φ = 1889280.

The previous prime is 3993343. The next prime is 3993377. The reversal of 3993344 is 4433993.

3993344 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3993343) 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 3 ways as a sum of consecutive naturals, for example, 4454 + ... + 5274.

Almost surely, 23993344 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 3993344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4200420).

3993344 is an abundant number, since it is smaller than the sum of its proper divisors (4407496).

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

3993344 is an equidigital number, since it uses as much as digits as its factorization.

3993344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 842 counting only the distinct ones).

The product of its digits is 34992, while the sum is 35.

The square root of 3993344 is about 1998.3353071995. The cubic root of 3993344 is about 158.6520084694.

The spelling of 3993344 in words is "three million, nine hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 608 821 1216 1642 2432 3284 4864 6568 13136 15599 26272 31198 52544 62396 105088 124792 210176 249584 499168 998336 1996672 3993344