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84213234 = 23271933463
BaseRepresentation
bin1010000010011…
…11110111110010
312212110110211200
411001033313302
5133024310414
612204552030
72041541430
oct501176762
9185413750
1084213234
1143599716
1224252616
13145a7021
14b281d50
1575d7109
hex504fdf2

84213234 has 48 divisors (see below), whose sum is σ = 209668992. Its totient is φ = 23929344.

The previous prime is 84213229. The next prime is 84213247. The reversal of 84213234 is 43231248.

84213234 is a `hidden beast` number, since 8 + 421 + 3 + 234 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 84213198 and 84213207.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22587 + ... + 26049.

It is an arithmetic number, because the mean of its divisors is an integer number (4368104).

Almost surely, 284213234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84213234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104834496).

84213234 is an abundant number, since it is smaller than the sum of its proper divisors (125455758).

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

84213234 is a wasteful number, since it uses less digits than its factorization.

84213234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671 (or 3668 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 84213234 is about 9176.7768851596. The cubic root of 84213234 is about 438.3221811688.

The spelling of 84213234 in words is "eighty-four million, two hundred thirteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 193 386 579 1158 1351 1737 2702 3463 3474 4053 6926 8106 10389 12159 20778 24241 24318 31167 48482 62334 72723 145446 218169 436338 668359 1336718 2005077 4010154 4678513 6015231 9357026 12030462 14035539 28071078 42106617 84213234