Search a number
-
+
1343164264 = 2313194159281
BaseRepresentation
bin101000000001111…
…0000111101101000
310110121101210222121
41100003300331220
510222322224024
6341140401024
745166464541
oct12003607550
93417353877
101343164264
1162a1aa212
123159a6174
1318536bb70
14ca5594c8
157cdb98e4
hex500f0f68

1343164264 has 128 divisors (see below), whose sum is σ = 2984688000. Its totient is φ = 561254400.

The previous prime is 1343164247. The next prime is 1343164279. The reversal of 1343164264 is 4624613431.

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, 4779804 + ... + 4780084.

It is an arithmetic number, because the mean of its divisors is an integer number (23317875).

Almost surely, 21343164264 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 1343164264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492344000).

1343164264 is an abundant number, since it is smaller than the sum of its proper divisors (1641523736).

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

1343164264 is a wasteful number, since it uses less digits than its factorization.

1343164264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 415 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

The square root of 1343164264 is about 36649.2055029846. The cubic root of 1343164264 is about 1103.3408798438.

Adding to 1343164264 its reverse (4624613431), we get a palindrome (5967777695).

The spelling of 1343164264 in words is "one billion, three hundred forty-three million, one hundred sixty-four thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 19 26 38 41 52 59 76 82 104 118 152 164 236 247 281 328 472 494 533 562 767 779 988 1066 1121 1124 1534 1558 1976 2132 2242 2248 2419 3068 3116 3653 4264 4484 4838 5339 6136 6232 7306 8968 9676 10127 10678 11521 14573 14612 16579 19352 20254 21356 23042 29146 29224 31447 33158 40508 42712 45961 46084 58292 62894 66316 69407 81016 91922 92168 116584 125788 132632 138814 149773 183844 215527 218899 251576 277628 299546 315001 367688 431054 437798 555256 597493 599092 630002 679739 862108 875596 1194986 1198184 1260004 1359478 1724216 1751192 2389972 2520008 2718956 2845687 4095013 4779944 5437912 5691374 8190026 8836607 11382748 12915041 16380052 17673214 22765496 25830082 32760104 35346428 51660164 70692856 103320328 167895533 335791066 671582132 1343164264