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1981344 = 25320639
BaseRepresentation
bin111100011101110100000
310201122220010
413203232200
51001400334
6110244520
722561341
oct7435640
93648803
101981344
111133682
127b6740
13544ac1
143980c8
152920e9
hex1e3ba0

1981344 has 24 divisors (see below), whose sum is σ = 5201280. Its totient is φ = 660416.

The previous prime is 1981337. The next prime is 1981349. The reversal of 1981344 is 4431891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×19813443 = 23334629354590666752, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1981349) 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, 10224 + ... + 10415.

It is an arithmetic number, because the mean of its divisors is an integer number (216720).

21981344 is an apocalyptic number.

It is an amenable number.

1981344 is an abundant number, since it is smaller than the sum of its proper divisors (3219936).

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

1981344 is a wasteful number, since it uses less digits than its factorization.

1981344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20652 (or 20644 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 1981344 is about 1407.6022165370. The cubic root of 1981344 is about 125.5991290999.

The spelling of 1981344 in words is "one million, nine hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 20639 41278 61917 82556 123834 165112 247668 330224 495336 660448 990672 1981344