Search a number
-
+
1024410340 = 2252310920431
BaseRepresentation
bin111101000011110…
…100001011100100
32122101121102210201
4331003310023210
54044222112330
6245352400244
734246226032
oct7503641344
92571542721
101024410340
11486286718
122470a6084
13134305b85
149a0a3552
155ee03eca
hex3d0f42e4

1024410340 has 48 divisors (see below), whose sum is σ = 2265500160. Its totient is φ = 388333440.

The previous prime is 1024410329. The next prime is 1024410347. The reversal of 1024410340 is 430144201.

1024410340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1024410347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39925 + ... + 60355.

It is an arithmetic number, because the mean of its divisors is an integer number (47197920).

Almost surely, 21024410340 is an apocalyptic number.

1024410340 is a gapful number since it is divisible by the number (10) 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 1024410340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132750080).

1024410340 is an abundant number, since it is smaller than the sum of its proper divisors (1241089820).

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

1024410340 is a wasteful number, since it uses less digits than its factorization.

1024410340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20572 (or 20570 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1024410340 is about 32006.4109203141. The cubic root of 1024410340 is about 1008.0714563122.

Adding to 1024410340 its reverse (430144201), we get a palindrome (1454554541).

The spelling of 1024410340 in words is "one billion, twenty-four million, four hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 109 115 218 230 436 460 545 1090 2180 2507 5014 10028 12535 20431 25070 40862 50140 81724 102155 204310 408620 469913 939826 1879652 2226979 2349565 4453958 4699130 8907916 9398260 11134895 22269790 44539580 51220517 102441034 204882068 256102585 512205170 1024410340