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434220213350 = 252711241746663
BaseRepresentation
bin1100101000110011000…
…10101010010001100110
31112111210112221022202002
412110121202222101212
524103240333311400
6531251130045302
743241244625610
oct6243142522146
91474715838662
10434220213350
11158173a99160
12701a3579832
1331c401386b1
1417032cc5db0
15b465c95ed5
hex65198aa466

434220213350 has 96 divisors (see below), whose sum is σ = 1007377952256. Its totient is φ = 135282470400.

The previous prime is 434220213299. The next prime is 434220213359. The reversal of 434220213350 is 53312022434.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434220213359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9282119 + ... + 9328781.

It is an arithmetic number, because the mean of its divisors is an integer number (10493520336).

Almost surely, 2434220213350 is an apocalyptic number.

434220213350 is an abundant number, since it is smaller than the sum of its proper divisors (573157738906).

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

434220213350 is a wasteful number, since it uses less digits than its factorization.

434220213350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49110 (or 49105 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 434220213350 its reverse (53312022434), we get a palindrome (487532235784).

The spelling of 434220213350 in words is "four hundred thirty-four billion, two hundred twenty million, two hundred thirteen thousand, three hundred fifty".

Divisors: 1 2 5 7 10 11 14 22 25 35 50 55 70 77 110 154 175 275 350 385 550 770 1925 2417 3850 4834 12085 16919 24170 26587 33838 46663 53174 60425 84595 93326 120850 132935 169190 186109 233315 265870 326641 372218 422975 466630 513293 653282 664675 845950 930545 1026586 1166575 1329350 1633205 1861090 2333150 2566465 3266410 3593051 4652725 5132930 7186102 8166025 9305450 12832325 16332050 17965255 25664650 35930510 89826275 112784471 179652550 225568942 563922355 789491297 1127844710 1240629181 1578982594 2481258362 2819611775 3947456485 5639223550 6203145905 7894912970 8684404267 12406291810 17368808534 19737282425 31015729525 39474564850 43422021335 62031459050 86844042670 217110106675 434220213350