Search a number
-
+
343128821343 = 372112108717747
BaseRepresentation
bin1001111111001000001…
…00100100111001011111
31012210200020102011020120
410333210010210321133
521110211434240333
6421344201250023
733535023600300
oct4774404447137
91183606364216
10343128821343
1112257a302100
1256601193913
132648418a839
141287108a7a7
158dd3bd3db3
hex4fe4124e5f

343128821343 has 72 divisors (see below), whose sum is σ = 585551102976. Its totient is φ = 178074721440.

The previous prime is 343128821341. The next prime is 343128821381.

343128821343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 343128821343 - 21 = 343128821341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 343128821295 and 343128821304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343128821341) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19325596 + ... + 19343342.

It is an arithmetic number, because the mean of its divisors is an integer number (8132654208).

Almost surely, 2343128821343 is an apocalyptic number.

343128821343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

343128821343 is a deficient number, since it is larger than the sum of its proper divisors (242422281633).

343128821343 is a wasteful number, since it uses less digits than its factorization.

343128821343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18873 (or 18855 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The spelling of 343128821343 in words is "three hundred forty-three billion, one hundred twenty-eight million, eight hundred twenty-one thousand, three hundred forty-three".

Divisors: 1 3 7 11 21 33 49 77 121 147 231 363 539 847 1087 1617 2541 3261 5929 7609 11957 17747 17787 22827 35871 53241 53263 83699 124229 131527 159789 195217 251097 372687 394581 585651 585893 869603 920689 1366519 1757679 2147387 2608809 2762067 4099557 6442161 6444823 9565633 15031709 19290989 19334469 28696899 45095127 57872967 105221963 135036923 212200879 315665889 405110769 636602637 945258461 1485406153 2334209669 2835775383 4456218459 7002629007 10397843071 16339467683 31193529213 49018403049 114376273781 343128821343