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84333330 = 232531167181
BaseRepresentation
bin1010000011011…
…01001100010010
312212200120120200
411001231030102
5133042131310
612211320030
72042551524
oct501551422
9185616520
1084333330
1143670974
12242b0016
13146198a3
14b2b3a14
15760c9c0
hex506d312

84333330 has 96 divisors (see below), whose sum is σ = 228953088. Its totient is φ = 21513600.

The previous prime is 84333289. The next prime is 84333331. The reversal of 84333330 is 3333348.

It is a super-2 number, since 2×843333302 = 14224221097777800, which contains 22 as substring.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 84333294 and 84333303.

It is not an unprimeable number, because it can be changed into a prime (84333331) 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 47 ways as a sum of consecutive naturals, for example, 465840 + ... + 466020.

It is an arithmetic number, because the mean of its divisors is an integer number (2384928).

Almost surely, 284333330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84333330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114476544).

84333330 is an abundant number, since it is smaller than the sum of its proper divisors (144619758).

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

84333330 is a wasteful number, since it uses less digits than its factorization.

84333330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 84333330 is about 9183.3180278154. The cubic root of 84333330 is about 438.5304450976.

Adding to 84333330 its reverse (3333348), we get a palindrome (87666678).

The spelling of 84333330 in words is "eighty-four million, three hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 167 181 186 279 310 334 362 465 501 543 558 835 905 930 1002 1086 1395 1503 1629 1670 1810 2505 2715 2790 3006 3258 5010 5177 5430 5611 7515 8145 10354 11222 15030 15531 16290 16833 25885 28055 30227 31062 33666 46593 50499 51770 56110 60454 77655 84165 90681 93186 100998 151135 155310 168330 181362 232965 252495 272043 302270 453405 465930 504990 544086 906810 937037 1360215 1874074 2720430 2811111 4685185 5622222 8433333 9370370 14055555 16866666 28111110 42166665 84333330