Search a number
-
+
349062129 = 34131973239
BaseRepresentation
bin10100110011100…
…100001111110001
3220022211012020000
4110303210033301
51203324442004
654345340213
711435656563
oct2463441761
9808735200
10349062129
1116a0445a9
1298a97669
1357418350
1434505333
15209a0c39
hex14ce43f1

349062129 has 80 divisors (see below), whose sum is σ = 601708800. Its totient is φ = 199874304.

The previous prime is 349062127. The next prime is 349062137. The reversal of 349062129 is 921260943.

349062129 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 621 + 29 = 666.

It is not a de Polignac number, because 349062129 - 21 = 349062127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 349062093 and 349062102.

It is not an unprimeable number, because it can be changed into a prime (349062121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1460392 + ... + 1460630.

It is an arithmetic number, because the mean of its divisors is an integer number (7521360).

Almost surely, 2349062129 is an apocalyptic number.

349062129 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

349062129 is a deficient number, since it is larger than the sum of its proper divisors (252646671).

349062129 is a wasteful number, since it uses less digits than its factorization.

349062129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 349062129 is about 18683.2044628324. The cubic root of 349062129 is about 704.0998380113.

The spelling of 349062129 in words is "three hundred forty-nine million, sixty-two thousand, one hundred twenty-nine".

Divisors: 1 3 9 13 19 27 39 57 73 81 117 171 219 239 247 351 513 657 717 741 949 1053 1387 1539 1971 2151 2223 2847 3107 4161 4541 5913 6453 6669 8541 9321 12483 13623 17447 18031 19359 20007 25623 27963 37449 40869 52341 54093 59033 76869 83889 112347 122607 157023 162279 177099 226811 251667 331493 367821 471069 486837 531297 680433 994479 1413207 1460511 1593891 2041299 2983437 4309409 4781673 6123897 8950311 12928227 18371691 26850933 38784681 116354043 349062129