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2044321040 = 245313722279
BaseRepresentation
bin111100111011001…
…1101110100010000
312021110202021021002
41321312131310100
513141321233130
6534504521132
7101442304436
oct17166356420
95243667232
102044321040
11959a69723
124907801a8
132676c4928
14155714d56
15be719b45
hex79d9dd10

2044321040 has 80 divisors (see below), whose sum is σ = 5039201280. Its totient is φ = 769927680.

The previous prime is 2044320991. The next prime is 2044321063. The reversal of 2044321040 is 401234402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80621 + ... + 102899.

It is an arithmetic number, because the mean of its divisors is an integer number (62990016).

Almost surely, 22044321040 is an apocalyptic number.

2044321040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2044321040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519600640).

2044321040 is an abundant number, since it is smaller than the sum of its proper divisors (2994880240).

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

2044321040 is a wasteful number, since it uses less digits than its factorization.

2044321040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22360 (or 22354 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2044321040 is about 45214.1685757905. The cubic root of 2044321040 is about 1269.1599710814.

Adding to 2044321040 its reverse (401234402), we get a palindrome (2445555442).

The spelling of 2044321040 in words is "two billion, forty-four million, three hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 37 40 62 74 80 124 148 155 185 248 296 310 370 496 592 620 740 1147 1240 1480 2294 2480 2960 4588 5735 9176 11470 18352 22279 22940 44558 45880 89116 91760 111395 178232 222790 356464 445580 690649 824323 891160 1381298 1648646 1782320 2762596 3297292 3453245 4121615 5525192 6594584 6906490 8243230 11050384 13189168 13812980 16486460 25554013 27625960 32972920 51108026 55251920 65945840 102216052 127770065 204432104 255540130 408864208 511080260 1022160520 2044321040