Search a number
-
+
4313333040 = 243543940939
BaseRepresentation
bin1000000010001100…
…00011110100110000
3102010121022000120120
410001012003310300
532313203124130
61552001410240
7211613503662
oct40106036460
912117260516
104313333040
111913844a55
12a04639980
1353980a193
142ccbd8532
151a3a19910
hex101183d30

4313333040 has 80 divisors (see below), whose sum is σ = 13402118400. Its totient is φ = 1147574016.

The previous prime is 4313333027. The next prime is 4313333099. The reversal of 4313333040 is 403333134.

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 4313333040.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 84891 + ... + 125829.

It is an arithmetic number, because the mean of its divisors is an integer number (167526480).

Almost surely, 24313333040 is an apocalyptic number.

4313333040 is a gapful number since it is divisible by the number (40) 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 4313333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6701059200).

4313333040 is an abundant number, since it is smaller than the sum of its proper divisors (9088785360).

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

4313333040 is a wasteful number, since it uses less digits than its factorization.

4313333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41394 (or 41388 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

The square root of 4313333040 is about 65675.9700347090. The cubic root of 4313333040 is about 1627.8123185132.

Adding to 4313333040 its reverse (403333134), we get a palindrome (4716666174).

The spelling of 4313333040 in words is "four billion, three hundred thirteen million, three hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 439 878 1317 1756 2195 2634 3512 4390 5268 6585 7024 8780 10536 13170 17560 21072 26340 35120 40939 52680 81878 105360 122817 163756 204695 245634 327512 409390 491268 614085 655024 818780 982536 1228170 1637560 1965072 2456340 3275120 4912680 9825360 17972221 35944442 53916663 71888884 89861105 107833326 143777768 179722210 215666652 269583315 287555536 359444420 431333304 539166630 718888840 862666608 1078333260 1437777680 2156666520 4313333040