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2021001344 = 2717928769
BaseRepresentation
bin111100001110110…
…0000100010000000
312012211212111122122
41320131200202000
513114334020334
6532313023412
7101040141125
oct17035404200
95184774578
102021001344
1194789124a
124849b4b68
1326291b4ab
141525a474c
15bc66032e
hex78760880

2021001344 has 32 divisors (see below), whose sum is σ = 4263054300. Its totient is φ = 951058432.

The previous prime is 2021001343. The next prime is 2021001347. The reversal of 2021001344 is 4431001202.

It can be written as a sum of positive squares in 2 ways, for example, as 1908641344 + 112360000 = 43688^2 + 10600^2 .

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 (17).

It is not an unprimeable number, because it can be changed into a prime (2021001343) 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, 462209 + ... + 466560.

Almost surely, 22021001344 is an apocalyptic number.

It is an amenable number.

2021001344 is an abundant number, since it is smaller than the sum of its proper divisors (2242052956).

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

2021001344 is an equidigital number, since it uses as much as digits as its factorization.

2021001344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928800 (or 928788 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2021001344 is about 44955.5485340798. The cubic root of 2021001344 is about 1264.3157092069.

Adding to 2021001344 its reverse (4431001202), we get a palindrome (6452002546).

The spelling of 2021001344 in words is "two billion, twenty-one million, one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 928769 1857538 3715076 7430152 14860304 15789073 29720608 31578146 59441216 63156292 118882432 126312584 252625168 505250336 1010500672 2021001344