Search a number
-
+
320564320 = 2558832269
BaseRepresentation
bin10011000110110…
…110110001100000
3211100012100120121
4103012312301200
51124031024240
651450450024
710641515566
oct2306666140
9740170517
10320564320
11154a4a79a
128b433914
135154b03b
1430807a36
151d22204a
hex131b6c60

320564320 has 48 divisors (see below), whose sum is σ = 758525040. Its totient is φ = 128024064.

The previous prime is 320564311. The next prime is 320564351. The reversal of 320564320 is 23465023.

It is a happy number.

It is a super-2 number, since 2×3205643202 = 205522966514124800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 140146 + ... + 142414.

It is an arithmetic number, because the mean of its divisors is an integer number (15802605).

Almost surely, 2320564320 is an apocalyptic number.

It is an amenable number.

320564320 is an abundant number, since it is smaller than the sum of its proper divisors (437960720).

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

320564320 is a wasteful number, since it uses less digits than its factorization.

320564320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3167 (or 3159 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 320564320 is about 17904.3100956166. The cubic root of 320564320 is about 684.3922148947.

The spelling of 320564320 in words is "three hundred twenty million, five hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 883 1766 2269 3532 4415 4538 7064 8830 9076 11345 14128 17660 18152 22690 28256 35320 36304 45380 70640 72608 90760 141280 181520 363040 2003527 4007054 8014108 10017635 16028216 20035270 32056432 40070540 64112864 80141080 160282160 320564320