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84434805 = 3457132979
BaseRepresentation
bin1010000100001…
…01111101110101
312212212201210000
411002011331311
5133103403210
612213421513
72043453420
oct502057565
9185781700
1084434805
1143730134
122433a899
1314653b30
14b2dc9b7
15762cac0
hex5085f75

84434805 has 160 divisors (see below), whose sum is σ = 195148800. Its totient is φ = 33965568.

The previous prime is 84434789. The next prime is 84434827. The reversal of 84434805 is 50843448.

It is not a de Polignac number, because 84434805 - 24 = 84434789 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 84434805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1068756 + ... + 1068834.

It is an arithmetic number, because the mean of its divisors is an integer number (1219680).

Almost surely, 284434805 is an apocalyptic number.

It is an amenable number.

84434805 is an abundant number, since it is smaller than the sum of its proper divisors (110713995).

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

84434805 is a wasteful number, since it uses less digits than its factorization.

84434805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 84434805 is about 9188.8413306575. The cubic root of 84434805 is about 438.7062634466.

The spelling of 84434805 in words is "eighty-four million, four hundred thirty-four thousand, eight hundred five".

Divisors: 1 3 5 7 9 13 15 21 27 29 35 39 45 63 65 79 81 87 91 105 117 135 145 189 195 203 237 261 273 315 351 377 395 405 435 455 553 567 585 609 711 783 819 945 1015 1027 1053 1131 1185 1305 1365 1659 1755 1827 1885 2133 2291 2349 2457 2639 2765 2835 3045 3081 3393 3555 3915 4095 4977 5135 5265 5481 5655 6399 6873 7189 7371 7917 8295 9135 9243 10179 10665 11455 11745 12285 13195 14931 15405 16037 16443 16965 20619 21567 23751 24885 27405 27729 29783 30537 31995 34365 35945 36855 39585 44793 46215 48111 50895 61857 64701 71253 74655 80185 82215 83187 89349 103095 107835 118755 138645 144333 148915 152685 185571 194103 208481 213759 223965 240555 268047 309285 323505 356265 415935 432999 446745 582309 625443 721665 804141 927855 970515 1042405 1068795 1298997 1340235 1876329 2164995 2412423 2911545 3127215 4020705 5628987 6494985 9381645 12062115 16886961 28144935 84434805