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2021344 = 251343113
BaseRepresentation
bin111101101011111100000
310210200202121
413231133200
51004140334
6111154024
723116063
oct7553740
93720677
102021344
111160736
12815914
1355a080
143a88da
1529ddb4
hex1ed7e0

2021344 has 48 divisors (see below), whose sum is σ = 4424112. Its totient is φ = 903168.

The previous prime is 2021339. The next prime is 2021377. The reversal of 2021344 is 4431202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17832 + ... + 17944.

It is an arithmetic number, because the mean of its divisors is an integer number (92169).

22021344 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 2021344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212056).

2021344 is an abundant number, since it is smaller than the sum of its proper divisors (2402768).

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

2021344 is a wasteful number, since it uses less digits than its factorization.

2021344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2021344 is about 1421.7397792845. The cubic root of 2021344 is about 126.4387159082.

Adding to 2021344 its reverse (4431202), we get a palindrome (6452546).

The spelling of 2021344 in words is "two million, twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 43 52 86 104 113 172 208 226 344 416 452 559 688 904 1118 1376 1469 1808 2236 2938 3616 4472 4859 5876 8944 9718 11752 17888 19436 23504 38872 47008 63167 77744 126334 155488 252668 505336 1010672 2021344