Search a number
-
+
2044303440 = 243522338197
BaseRepresentation
bin111100111011001…
…1001100001010000
312021110201101010020
41321312121201100
513141320202230
6534504303440
7101442202224
oct17166314120
95243641106
102044303440
11959a57483
12490771b80
132676b990a
1415570c784
15be714810
hex79d99850

2044303440 has 80 divisors (see below), whose sum is σ = 6365925888. Its totient is φ = 542688768.

The previous prime is 2044303427. The next prime is 2044303507. The reversal of 2044303440 is 443034402.

It is a happy number.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2044303440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34422 + ... + 72618.

Almost surely, 22044303440 is an apocalyptic number.

2044303440 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 2044303440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3182962944).

2044303440 is an abundant number, since it is smaller than the sum of its proper divisors (4321622448).

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

2044303440 is a wasteful number, since it uses less digits than its factorization.

2044303440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38436 (or 38430 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2044303440 is about 45213.9739461154. The cubic root of 2044303440 is about 1269.1563289138.

Adding to 2044303440 its reverse (443034402), we get a palindrome (2487337842).

The spelling of 2044303440 in words is "two billion, forty-four million, three hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 223 240 446 669 892 1115 1338 1784 2230 2676 3345 3568 4460 5352 6690 8920 10704 13380 17840 26760 38197 53520 76394 114591 152788 190985 229182 305576 381970 458364 572955 611152 763940 916728 1145910 1527880 1833456 2291820 3055760 4583640 8517931 9167280 17035862 25553793 34071724 42589655 51107586 68143448 85179310 102215172 127768965 136286896 170358620 204430344 255537930 340717240 408860688 511075860 681434480 1022151720 2044303440