Search a number
-
+
434414442 = 23711319409
BaseRepresentation
bin11001111001001…
…010001101101010
31010021102112120210
4121321022031222
51342202230232
6111035001550
713523314260
oct3171121552
91107375523
10434414442
11203241000
121015992b6
136c000987
14419a2430
15282105cc
hex19e4a36a

434414442 has 128 divisors (see below), whose sum is σ = 1152460800. Its totient is φ = 106634880.

The previous prime is 434414437. The next prime is 434414473. The reversal of 434414442 is 244414434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1061934 + ... + 1062342.

It is an arithmetic number, because the mean of its divisors is an integer number (9003600).

Almost surely, 2434414442 is an apocalyptic number.

434414442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 434414442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576230400).

434414442 is an abundant number, since it is smaller than the sum of its proper divisors (718046358).

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

434414442 is a wasteful number, since it uses less digits than its factorization.

434414442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 451 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

The square root of 434414442 is about 20842.6112087713. The cubic root of 434414442 is about 757.3583505792.

Adding to 434414442 its reverse (244414434), we get a palindrome (678828876).

The spelling of 434414442 in words is "four hundred thirty-four million, four hundred fourteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 121 133 154 209 231 242 266 363 399 409 418 462 627 726 798 818 847 1227 1254 1331 1463 1694 2299 2454 2541 2662 2863 2926 3993 4389 4499 4598 5082 5726 6897 7771 7986 8589 8778 8998 9317 13497 13794 15542 16093 17178 18634 23313 25289 26994 27951 31493 32186 46626 48279 49489 50578 54397 55902 62986 75867 85481 94479 96558 98978 108794 148467 151734 163191 170962 177023 188958 256443 296934 326382 346423 354046 512886 531069 544379 598367 692846 940291 1039269 1062138 1088758 1196734 1633137 1795101 1880582 2078538 2820873 3266274 3590202 3810653 5641746 6582037 7621306 10343201 11431959 13164074 19746111 20686402 22863918 31029603 39492222 62059206 72402407 144804814 217207221 434414442