Search a number
-
+
343540197 = 347111319223
BaseRepresentation
bin10100011110100…
…000000111100101
3212221102122120000
4110132200013211
51200421241242
654031131513
711341020630
oct2436400745
9787378500
10343540197
11166a12920
1297073b99
1356233b30
14338a8c17
152025ea4c
hex147a01e5

343540197 has 160 divisors (see below), whose sum is σ = 728555520. Its totient is φ = 155364480.

The previous prime is 343540181. The next prime is 343540217. The reversal of 343540197 is 791045343.

It is not a de Polignac number, because 343540197 - 24 = 343540181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343540697) 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 159 ways as a sum of consecutive naturals, for example, 1540428 + ... + 1540650.

It is an arithmetic number, because the mean of its divisors is an integer number (4553472).

Almost surely, 2343540197 is an apocalyptic number.

It is an amenable number.

343540197 is an abundant number, since it is smaller than the sum of its proper divisors (385015323).

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

343540197 is a wasteful number, since it uses less digits than its factorization.

343540197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 343540197 is about 18534.8373880107. The cubic root of 343540197 is about 700.3672882035.

The spelling of 343540197 in words is "three hundred forty-three million, five hundred forty thousand, one hundred ninety-seven".

Divisors: 1 3 7 9 11 13 19 21 27 33 39 57 63 77 81 91 99 117 133 143 171 189 209 223 231 247 273 297 351 399 429 513 567 627 669 693 741 819 891 1001 1053 1197 1287 1463 1539 1561 1729 1881 2007 2079 2223 2453 2457 2717 2899 3003 3591 3861 4237 4389 4683 5187 5643 6021 6237 6669 7359 7371 8151 8697 9009 10773 11583 12711 13167 14049 15561 16929 17171 18063 19019 20007 20293 22077 24453 26091 27027 29659 31889 38133 39501 42147 46607 46683 51513 55081 57057 60879 66231 73359 78273 81081 88977 95667 114399 118503 126441 139821 140049 154539 165243 171171 182637 198693 220077 223223 234819 266931 287001 326249 343197 385567 419463 463617 495729 513513 547911 605891 669669 800793 861003 978747 1156701 1258389 1390851 1487187 1540539 1643733 1817673 2009007 2402379 2583009 2936241 3470103 3775167 4241237 4461561 5453019 6027021 8808723 10410309 12723711 16359057 18081063 26426169 31230927 38171133 49077171 114513399 343540197