Search a number
-
+
342809775 = 325271147421
BaseRepresentation
bin10100011011101…
…101110010101111
3212220001112121100
4110123231302233
51200224403100
654003334143
711331556260
oct2433556257
9786045540
10342809775
11166564070
1296981353
1356039529
1433758967
1520168400
hex146edcaf

342809775 has 144 divisors (see below), whose sum is σ = 783664128. Its totient is φ = 139104000.

The previous prime is 342809759. The next prime is 342809809. The reversal of 342809775 is 577908243.

It is not a de Polignac number, because 342809775 - 24 = 342809759 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 342809775.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 814065 + ... + 814485.

It is an arithmetic number, because the mean of its divisors is an integer number (5442112).

Almost surely, 2342809775 is an apocalyptic number.

342809775 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

342809775 is an abundant number, since it is smaller than the sum of its proper divisors (440854353).

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

342809775 is a wasteful number, since it uses less digits than its factorization.

342809775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 342809775 is about 18515.1228729382. The cubic root of 342809775 is about 699.8705713084.

The spelling of 342809775 in words is "three hundred forty-two million, eight hundred nine thousand, seven hundred seventy-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 47 55 63 75 77 99 105 141 165 175 225 231 235 275 315 329 385 421 423 495 517 525 693 705 825 987 1155 1175 1263 1551 1575 1645 1925 2105 2115 2475 2585 2947 2961 3465 3525 3619 3789 4631 4653 4935 5775 6315 7755 8225 8841 10525 10575 10857 12925 13893 14735 14805 17325 18095 18945 19787 23155 23265 24675 26523 31575 32417 32571 38775 41679 44205 54285 59361 69465 73675 74025 90475 94725 97251 98935 115775 116325 132615 138509 162085 162855 178083 208395 217657 221025 271425 291753 296805 347325 415527 486255 494675 652971 663075 692545 810425 814275 890415 1041975 1088285 1246581 1458765 1484025 1523599 1958913 2077635 2431275 3264855 3462725 4452075 4570797 5441425 6232905 7293825 7617995 9794565 10388175 13712391 16324275 22853985 31164525 38089975 48972825 68561955 114269925 342809775