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4005344 = 25717881
BaseRepresentation
bin1111010001110111100000
321112111022002
433101313200
52011132334
6221503132
746021250
oct17216740
97474262
104005344
112296302
121411aa8
13aa3135
14763960
15541b7e
hex3d1de0

4005344 has 24 divisors (see below), whose sum is σ = 9012528. Its totient is φ = 1716480.

The previous prime is 4005343. The next prime is 4005347. The reversal of 4005344 is 4435004.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005341) 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, 8717 + ... + 9164.

It is an arithmetic number, because the mean of its divisors is an integer number (375522).

Almost surely, 24005344 is an apocalyptic number.

It is an amenable number.

4005344 is an abundant number, since it is smaller than the sum of its proper divisors (5007184).

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

4005344 is a wasteful number, since it uses less digits than its factorization.

4005344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17898 (or 17890 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 4005344 is about 2001.3355540738. The cubic root of 4005344 is about 158.8107659987.

The spelling of 4005344 in words is "four million, five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 17881 35762 71524 125167 143048 250334 286096 500668 572192 1001336 2002672 4005344