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2317280 = 25572069
BaseRepresentation
bin1000110101101111100000
311100201201012
420311233200
51043123110
6121400052
725460630
oct10655740
94321635
102317280
111343009
12939028
13631994
144446c0
1530b905
hex235be0

2317280 has 48 divisors (see below), whose sum is σ = 6259680. Its totient is φ = 794112.

The previous prime is 2317267. The next prime is 2317283. The reversal of 2317280 is 827132.

2317280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2317283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86 + ... + 2154.

It is an arithmetic number, because the mean of its divisors is an integer number (130410).

22317280 is an apocalyptic number.

2317280 is a gapful number since it is divisible by the number (20) 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 2317280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129840).

2317280 is an abundant number, since it is smaller than the sum of its proper divisors (3942400).

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

2317280 is a wasteful number, since it uses less digits than its factorization.

2317280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 2317280 is about 1522.2614755685. The cubic root of 2317280 is about 132.3303631881.

The spelling of 2317280 in words is "two million, three hundred seventeen thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 2069 4138 8276 10345 14483 16552 20690 28966 33104 41380 57932 66208 72415 82760 115864 144830 165520 231728 289660 331040 463456 579320 1158640 2317280