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84318480 = 24325117109
BaseRepresentation
bin1010000011010…
…01100100010000
312212122211012200
411001221210100
5133041142410
612211123200
72042460321
oct501514420
9185584180
1084318480
11436607a4
12242a3500
1314612bbc
14b2ac448
1576083c0
hex5069910

84318480 has 60 divisors (see below), whose sum is σ = 283171980. Its totient is φ = 22484736.

The previous prime is 84318463. The next prime is 84318499. The reversal of 84318480 is 8481348.

It can be written as a sum of positive squares in 2 ways, for example, as 25887744 + 58430736 = 5088^2 + 7644^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57835 + ... + 59274.

It is an arithmetic number, because the mean of its divisors is an integer number (4719533).

Almost surely, 284318480 is an apocalyptic number.

84318480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84318480 is an abundant number, since it is smaller than the sum of its proper divisors (198853500).

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

84318480 is a wasteful number, since it uses less digits than its factorization.

84318480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117128 (or 117119 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 84318480 is about 9182.5094609262. The cubic root of 84318480 is about 438.5047037552.

The spelling of 84318480 in words is "eighty-four million, three hundred eighteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 117109 234218 351327 468436 585545 702654 936872 1053981 1171090 1405308 1756635 1873744 2107962 2342180 2810616 3513270 4215924 4684360 5269905 5621232 7026540 8431848 9368720 10539810 14053080 16863696 21079620 28106160 42159240 84318480