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8322480 = 243353853
BaseRepresentation
bin11111101111110110110000
3120122211022000
4133233312300
54112304410
6454214000
7130511535
oct37576660
916584260
108322480
114774891
122954300
13195515a
141168d8c
15ae5dc0
hex7efdb0

8322480 has 80 divisors (see below), whose sum is σ = 28673760. Its totient is φ = 2218752.

The previous prime is 8322451. The next prime is 8322487. The reversal of 8322480 is 842238.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8322487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234 + ... + 4086.

It is an arithmetic number, because the mean of its divisors is an integer number (358422).

Almost surely, 28322480 is an apocalyptic number.

8322480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8322480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14336880).

8322480 is an abundant number, since it is smaller than the sum of its proper divisors (20351280).

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

8322480 is a wasteful number, since it uses less digits than its factorization.

8322480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3875 (or 3863 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8322480 is about 2884.8708809928. The cubic root of 8322480 is about 202.6520120598.

The spelling of 8322480 in words is "eight million, three hundred twenty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 3853 7706 11559 15412 19265 23118 30824 34677 38530 46236 57795 61648 69354 77060 92472 104031 115590 138708 154120 173385 184944 208062 231180 277416 308240 346770 416124 462360 520155 554832 693540 832248 924720 1040310 1387080 1664496 2080620 2774160 4161240 8322480