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84332430 = 232572131471
BaseRepresentation
bin1010000011011…
…00111110001110
312212200112100100
411001230332032
5133042114210
612211311530
72042546100
oct501547616
9185615310
1084332430
1143670226
12242ab5a6
1314619360
14b2b3570
15760c5c0
hex506cf8e

84332430 has 144 divisors (see below), whose sum is σ = 274869504. Its totient is φ = 17781120.

The previous prime is 84332411. The next prime is 84332441. The reversal of 84332430 is 3423348.

It is a super-2 number, since 2×843324302 = 14223917499409800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 84332394 and 84332403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56595 + ... + 58065.

It is an arithmetic number, because the mean of its divisors is an integer number (1908816).

Almost surely, 284332430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84332430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137434752).

84332430 is an abundant number, since it is smaller than the sum of its proper divisors (190537074).

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

84332430 is a wasteful number, since it uses less digits than its factorization.

84332430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 84332430 is about 9183.2690257881. The cubic root of 84332430 is about 438.5288851023.

Adding to 84332430 its reverse (3423348), we get a palindrome (87755778).

The spelling of 84332430 in words is "eighty-four million, three hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 49 63 65 70 78 90 91 98 105 117 126 130 147 182 195 210 234 245 273 294 315 390 441 455 490 546 585 630 637 735 819 882 910 1170 1274 1365 1470 1471 1638 1911 2205 2730 2942 3185 3822 4095 4410 4413 5733 6370 7355 8190 8826 9555 10297 11466 13239 14710 19110 19123 20594 22065 26478 28665 30891 38246 44130 51485 57330 57369 61782 66195 72079 92673 95615 102970 114738 132390 133861 144158 154455 172107 185346 191230 216237 267722 286845 308910 344214 360395 401583 432474 463365 573690 648711 669305 720790 803166 860535 926730 937027 1081185 1204749 1297422 1338610 1721070 1874054 2007915 2162370 2409498 2811081 3243555 4015830 4685135 5622162 6023745 6487110 8433243 9370270 12047490 14055405 16866486 28110810 42166215 84332430