Search a number
-
+
1343409228 = 2232767251317
BaseRepresentation
bin101000000010010…
…1100110001001100
310110121212021000100
41100010230301030
510222403043403
6341145531100
745201534660
oct12004546114
93417767010
101343409228
1162a357267
12315aa3a90
13185426505
14ca5c08a0
157ce172a3
hex5012cc4c

1343409228 has 144 divisors (see below), whose sum is σ = 3967052544. Its totient is φ = 375408000.

The previous prime is 1343409203. The next prime is 1343409251. The reversal of 1343409228 is 8229043431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1343409192 and 1343409201.

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 47 ways as a sum of consecutive naturals, for example, 4237726 + ... + 4238042.

It is an arithmetic number, because the mean of its divisors is an integer number (27548976).

Almost surely, 21343409228 is an apocalyptic number.

1343409228 is a gapful number since it is divisible by the number (18) 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 1343409228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983526272).

1343409228 is an abundant number, since it is smaller than the sum of its proper divisors (2623643316).

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

1343409228 is a wasteful number, since it uses less digits than its factorization.

1343409228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1343409228 is about 36652.5473603132. The cubic root of 1343409228 is about 1103.4079509071.

The spelling of 1343409228 in words is "one billion, three hundred forty-three million, four hundred nine thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 67 84 126 134 201 251 252 268 317 402 469 502 603 634 753 804 938 951 1004 1206 1268 1407 1506 1757 1876 1902 2219 2259 2412 2814 2853 3012 3514 3804 4221 4438 4518 5271 5628 5706 6657 7028 8442 8876 9036 10542 11412 13314 15813 16817 16884 19971 21084 21239 26628 31626 33634 39942 42478 50451 63252 63717 67268 79567 79884 84956 100902 117719 127434 148673 151353 159134 191151 201804 235438 238701 254868 297346 302706 318268 353157 382302 446019 470876 477402 556969 594692 605412 706314 716103 764604 892038 954804 1059471 1113938 1338057 1412628 1432206 1670907 1784076 2118942 2227876 2676114 2864412 3341814 4237884 5012721 5330989 5352228 6683628 10025442 10661978 15992967 20050884 21323956 31985934 37316923 47978901 63971868 74633846 95957802 111950769 149267692 191915604 223901538 335852307 447803076 671704614 1343409228