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8273034 = 23271147127
BaseRepresentation
bin11111100011110010001010
3120120022110200
4133203302022
54104214114
6453153030
7130214430
oct37436212
916508420
108273034
114740720
12292b776
1319387b3
141154d50
15ad6409
hex7e3c8a

8273034 has 96 divisors (see below), whose sum is σ = 23003136. Its totient is φ = 2086560.

The previous prime is 8272997. The next prime is 8273047. The reversal of 8273034 is 4303728.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8272989 and 8273007.

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 47 ways as a sum of consecutive naturals, for example, 65079 + ... + 65205.

It is an arithmetic number, because the mean of its divisors is an integer number (239616).

Almost surely, 28273034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8273034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11501568).

8273034 is an abundant number, since it is smaller than the sum of its proper divisors (14730102).

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

8273034 is a wasteful number, since it uses less digits than its factorization.

8273034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 8273034 is about 2876.2882331227. The cubic root of 8273034 is about 202.2498786570.

The spelling of 8273034 in words is "eight million, two hundred seventy-three thousand, thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 47 63 66 77 94 99 126 127 141 154 198 231 254 282 329 381 423 462 517 658 693 762 846 889 987 1034 1143 1386 1397 1551 1778 1974 2286 2667 2794 2961 3102 3619 4191 4653 5334 5922 5969 7238 8001 8382 9306 9779 10857 11938 12573 16002 17907 19558 21714 25146 29337 32571 35814 41783 53721 58674 65142 65659 83566 88011 107442 125349 131318 176022 196977 250698 376047 393954 459613 590931 752094 919226 1181862 1378839 2757678 4136517 8273034