Search a number
-
+
1343124420 = 2235113755001
BaseRepresentation
bin101000000001110…
…0111001111000100
310110121022210022220
41100003213033010
510222314440140
6341135452340
745166240431
oct12003471704
93417283286
101343124420
1162a182290
123159870b0
131853569a1
14ca548b88
157cdacbd0
hex500e73c4

1343124420 has 96 divisors (see below), whose sum is σ = 4213593216. Its totient is φ = 316800000.

The previous prime is 1343124397. The next prime is 1343124427. The reversal of 1343124420 is 244213431.

It is not an unprimeable number, because it can be changed into a prime (1343124427) by changing a digit.

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, 3081 + ... + 51920.

It is an arithmetic number, because the mean of its divisors is an integer number (43891596).

Almost surely, 21343124420 is an apocalyptic number.

1343124420 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 1343124420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106796608).

1343124420 is an abundant number, since it is smaller than the sum of its proper divisors (2870468796).

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

1343124420 is a wasteful number, since it uses less digits than its factorization.

1343124420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55061 (or 55059 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1343124420 is about 36648.6619128175. The cubic root of 1343124420 is about 1103.3299697985.

Adding to 1343124420 its reverse (244213431), we get a palindrome (1587337851).

The spelling of 1343124420 in words is "one billion, three hundred forty-three million, one hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1628 2035 2220 2442 4070 4884 6105 8140 12210 24420 55001 110002 165003 220004 275005 330006 550010 605011 660012 825015 1100020 1210022 1650030 1815033 2035037 2420044 3025055 3300060 3630066 4070074 6050110 6105111 7260132 8140148 9075165 10175185 12100220 12210222 18150330 20350370 22385407 24420444 30525555 36300660 40700740 44770814 61051110 67156221 89541628 111927035 122102220 134312442 223854070 268624884 335781105 447708140 671562210 1343124420