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434414214 = 2321319199491
BaseRepresentation
bin11001111001001…
…010001010000110
31010021102112021100
4121321022022012
51342202223324
6111035000530
713523313513
oct3171121206
91107375240
10434414214
11203240913
12101599146
136c000840
14419a230a
15282104c9
hex19e4a286

434414214 has 96 divisors (see below), whose sum is σ = 1074528000. Its totient is φ = 125737920.

The previous prime is 434414177. The next prime is 434414221. The reversal of 434414214 is 412414434.

434414214 is a `hidden beast` number, since 4 + 3 + 441 + 4 + 214 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 884509 + ... + 884999.

It is an arithmetic number, because the mean of its divisors is an integer number (11193000).

Almost surely, 2434414214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434414214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537264000).

434414214 is an abundant number, since it is smaller than the sum of its proper divisors (640113786).

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

434414214 is a wasteful number, since it uses less digits than its factorization.

434414214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 727 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 434414214 is about 20842.6057392064. The cubic root of 434414214 is about 757.3582180808.

Adding to 434414214 its reverse (412414434), we get a palindrome (846828648).

The spelling of 434414214 in words is "four hundred thirty-four million, four hundred fourteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 199 234 247 342 398 491 494 597 741 982 1194 1473 1482 1791 2223 2587 2946 3582 3781 4419 4446 5174 6383 7562 7761 8838 9329 11343 12766 15522 18658 19149 22686 23283 27987 34029 38298 46566 49153 55974 57447 68058 83961 97709 98306 114894 121277 147459 167922 195418 242554 293127 294918 363831 442377 586254 727662 879381 884754 1091493 1270217 1758762 1856471 2182986 2540434 3712942 3810651 5569413 7621302 11138826 11431953 16708239 22863906 24134123 33416478 48268246 72402369 144804738 217207107 434414214