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322080 = 25351161
BaseRepresentation
bin1001110101000100000
3121100210220
41032220200
540301310
610523040
72511003
oct1165040
9540726
10322080
111aaa90
12136480
13b37a5
148553a
1565670
hex4ea20

322080 has 96 divisors (see below), whose sum is σ = 1124928. Its totient is φ = 76800.

The previous prime is 322079. The next prime is 322093. The reversal of 322080 is 80223.

322080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 122 × 22 × 120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5250 + ... + 5310.

It is an arithmetic number, because the mean of its divisors is an integer number (11718).

2322080 is an apocalyptic number.

322080 is a gapful number since it is divisible by the number (30) 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 322080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562464).

322080 is an abundant number, since it is smaller than the sum of its proper divisors (802848).

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

322080 is a wasteful number, since it uses less digits than its factorization.

322080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 322080 is about 567.5209247244. The cubic root of 322080 is about 68.5469158415.

It can be divided in two parts, 32 and 2080, that added together give a palindrome (2112).

The spelling of 322080 in words is "three hundred twenty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 61 66 80 88 96 110 120 122 132 160 165 176 183 220 240 244 264 305 330 352 366 440 480 488 528 610 660 671 732 880 915 976 1056 1220 1320 1342 1464 1760 1830 1952 2013 2440 2640 2684 2928 3355 3660 4026 4880 5280 5368 5856 6710 7320 8052 9760 10065 10736 13420 14640 16104 20130 21472 26840 29280 32208 40260 53680 64416 80520 107360 161040 322080