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4400043340 = 2257119193109
BaseRepresentation
bin1000001100100001…
…10101010101001100
3102100122110100202011
410012100311111030
533002402341330
62004340111004
7214015515460
oct40620652514
912318410664
104400043340
111958789760
12a29695464
13551779954
142da52a4a0
151ab44682a
hex10643554c

4400043340 has 96 divisors (see below), whose sum is σ = 11536358400. Its totient is φ = 1369509120.

The previous prime is 4400043331. The next prime is 4400043383. The reversal of 4400043340 is 433400044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 31 ways as a sum of consecutive naturals, for example, 1413706 + ... + 1416814.

It is an arithmetic number, because the mean of its divisors is an integer number (120170400).

Almost surely, 24400043340 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 4400043340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5768179200).

4400043340 is an abundant number, since it is smaller than the sum of its proper divisors (7136315060).

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

4400043340 is a wasteful number, since it uses less digits than its factorization.

4400043340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4055 (or 4053 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 4400043340 is about 66332.8224938454. The cubic root of 4400043340 is about 1638.6479213933.

Adding to 4400043340 its reverse (433400044), we get a palindrome (4833443384).

It can be divided in two parts, 440004 and 3340, that added together give a palindrome (443344).

The spelling of 4400043340 in words is "four billion, four hundred million, forty-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 919 1540 1838 3109 3676 4595 6218 6433 9190 10109 12436 12866 15545 18380 20218 21763 25732 31090 32165 34199 40436 43526 50545 62180 64330 68398 70763 87052 101090 108815 128660 136796 141526 170995 202180 217630 239393 283052 341990 353815 435260 478786 683980 707630 957572 1196965 1415260 2393930 2857171 4787860 5714342 11428684 14285855 20000197 28571710 31428881 40000394 57143420 62857762 80000788 100000985 125715524 157144405 200001970 220002167 314288810 400003940 440004334 628577620 880008668 1100010835 2200021670 4400043340