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84973434 = 23713198191
BaseRepresentation
bin1010001000010…
…01011101111010
312220220002122020
411010021131322
5133223122214
612233135310
72051155650
oct504113572
9186802566
1084973434
1143a68887
122455a536
13147b2050
14b3dcdd0
1576d74a9
hex510977a

84973434 has 64 divisors (see below), whose sum is σ = 220200960. Its totient is φ = 21228480.

The previous prime is 84973433. The next prime is 84973489. The reversal of 84973434 is 43437948.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (84973433) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6279 + ... + 14469.

It is an arithmetic number, because the mean of its divisors is an integer number (3440640).

Almost surely, 284973434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84973434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110100480).

84973434 is an abundant number, since it is smaller than the sum of its proper divisors (135227526).

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

84973434 is a wasteful number, since it uses less digits than its factorization.

84973434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8235.

The product of its digits is 290304, while the sum is 42.

The square root of 84973434 is about 9218.1036010668. The cubic root of 84973434 is about 439.6371560989.

The spelling of 84973434 in words is "eighty-four million, nine hundred seventy-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 91 114 133 182 247 266 273 399 494 546 741 798 1482 1729 3458 5187 8191 10374 16382 24573 49146 57337 106483 114674 155629 172011 212966 311258 319449 344022 466887 638898 745381 933774 1089403 1490762 2023177 2178806 2236143 3268209 4046354 4472286 6069531 6536418 12139062 14162239 28324478 42486717 84973434