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434214313230 = 23531617654051
BaseRepresentation
bin1100101000110010011…
…00001001110100001110
31112111210010211120022010
412110121030021310032
524103232331010410
6531250355402050
743241143523235
oct6243114116416
91474703746263
10434214313230
11158170729325
12701a15b3326
1331c3bb50cb9
14170321cbb1c
15b4654ccc20
hex6519309d0e

434214313230 has 64 divisors (see below), whose sum is σ = 1093366020096. Its totient is φ = 110218320000.

The previous prime is 434214313213. The next prime is 434214313241. The reversal of 434214313230 is 32313412434.

It is a happy number.

It is a super-3 number, since 3×4342143132303 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3770296 + ... + 3883755.

It is an arithmetic number, because the mean of its divisors is an integer number (17083844064).

Almost surely, 2434214313230 is an apocalyptic number.

434214313230 is an abundant number, since it is smaller than the sum of its proper divisors (659151706866).

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

434214313230 is a wasteful number, since it uses less digits than its factorization.

434214313230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7654153.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 434214313230 its reverse (32313412434), we get a palindrome (466527725664).

The spelling of 434214313230 in words is "four hundred thirty-four billion, two hundred fourteen million, three hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 61 62 93 122 155 183 186 305 310 366 465 610 915 930 1830 1891 3782 5673 9455 11346 18910 28365 56730 7654051 15308102 22962153 38270255 45924306 76540510 114810765 229621530 237275581 466897111 474551162 711826743 933794222 1186377905 1400691333 1423653486 2334485555 2372755810 2801382666 3559133715 4668971110 7003456665 7118267430 14006913330 14473810441 28947620882 43421431323 72369052205 86842862646 144738104410 217107156615 434214313230