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320283252 = 223216015557
BaseRepresentation
bin10011000101110…
…010001001110100
3211022200002000200
4103011302021310
51123443031002
651440440500
710636235262
oct2305621164
9738602020
10320283252
11154878603
128b319130
1351480123
1430773432
151d1b8b1c
hex13172274

320283252 has 36 divisors (see below), whose sum is σ = 810256356. Its totient is φ = 106675200.

The previous prime is 320283251. The next prime is 320283253. The reversal of 320283252 is 252382023.

It is an interprime number because it is at equal distance from previous prime (320283251) and next prime (320283253).

It can be written as a sum of positive squares in 2 ways, for example, as 313502436 + 6780816 = 17706^2 + 2604^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320283251) 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 11 ways as a sum of consecutive naturals, for example, 54858 + ... + 60414.

It is an arithmetic number, because the mean of its divisors is an integer number (22507121).

Almost surely, 2320283252 is an apocalyptic number.

It is an amenable number.

320283252 is an abundant number, since it is smaller than the sum of its proper divisors (489973104).

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

320283252 is a wasteful number, since it uses less digits than its factorization.

320283252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7168 (or 7163 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 320283252 is about 17896.4592028703. The cubic root of 320283252 is about 684.1921333650.

The spelling of 320283252 in words is "three hundred twenty million, two hundred eighty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1601 3202 4803 5557 6404 9606 11114 14409 16671 19212 22228 28818 33342 50013 57636 66684 100026 200052 8896757 17793514 26690271 35587028 53380542 80070813 106761084 160141626 320283252