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84343812 = 223719431229
BaseRepresentation
bin1010000011011…
…11110000000100
312212201002221220
411001233300010
5133043000222
612211440340
72042624220
oct501576004
9185632856
1084343812
1143678833
12242b60b0
13146215a7
14b2b7780
157610b5c
hex506fc04

84343812 has 96 divisors (see below), whose sum is σ = 242457600. Its totient is φ = 22280832.

The previous prime is 84343799. The next prime is 84343813. The reversal of 84343812 is 21834348.

It is a super-2 number, since 2×843438122 = 14227757245382688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84343813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68014 + ... + 69242.

It is an arithmetic number, because the mean of its divisors is an integer number (2525600).

Almost surely, 284343812 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 84343812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121228800).

84343812 is an abundant number, since it is smaller than the sum of its proper divisors (158113788).

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

84343812 is a wasteful number, since it uses less digits than its factorization.

84343812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1303 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 84343812 is about 9183.8887188380. Note that the first 3 decimals coincide. The cubic root of 84343812 is about 438.5486130260.

It can be divided in two parts, 8434 and 3812, that added together give a triangular number (12246 = T156).

The spelling of 84343812 in words is "eighty-four million, three hundred forty-three thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 43 57 76 84 86 114 129 133 172 228 258 266 301 399 516 532 602 798 817 903 1204 1229 1596 1634 1806 2451 2458 3268 3612 3687 4902 4916 5719 7374 8603 9804 11438 14748 17157 17206 22876 23351 25809 34314 34412 46702 51618 52847 68628 70053 93404 103236 105694 140106 158541 163457 211388 280212 317082 326914 369929 490371 634164 653828 739858 980742 1004093 1109787 1479716 1961484 2008186 2219574 3012279 4016372 4439148 6024558 7028651 12049116 14057302 21085953 28114604 42171906 84343812