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434244012 = 223192591699
BaseRepresentation
bin11001111000100…
…000100110101100
31010021002212210120
4121320200212230
51342131302022
6111031204540
713522004346
oct3170404654
91107085716
10434244012
11203134a54
12101516750
136bc71227
144195a296
15281c9d5c
hex19e209ac

434244012 has 72 divisors (see below), whose sum is σ = 1088136000. Its totient is φ = 134726112.

The previous prime is 434244007. The next prime is 434244037. The reversal of 434244012 is 210442434.

It is a happy number.

It is a super-2 number, since 2×4342440122 = 377135723915712288, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 254739 + ... + 256437.

It is an arithmetic number, because the mean of its divisors is an integer number (15113000).

Almost surely, 2434244012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434244012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544068000).

434244012 is an abundant number, since it is smaller than the sum of its proper divisors (653891988).

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

434244012 is a wasteful number, since it uses less digits than its factorization.

434244012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 434244012 is about 20838.5223084556. The cubic root of 434244012 is about 757.2592950424.

Adding to 434244012 its reverse (210442434), we get a palindrome (644686446).

The spelling of 434244012 in words is "four hundred thirty-four million, two hundred forty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 59 76 114 118 177 228 236 354 361 708 722 1083 1121 1444 1699 2166 2242 3363 3398 4332 4484 5097 6726 6796 10194 13452 20388 21299 32281 42598 63897 64562 85196 96843 100241 127794 129124 193686 200482 255588 300723 387372 400964 601446 613339 1202892 1226678 1840017 1904579 2453356 3680034 3809158 5713737 7360068 7618316 11427474 22854948 36187001 72374002 108561003 144748004 217122006 434244012