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320350020 = 223553131769
BaseRepresentation
bin10011000110000…
…010011101000100
3211022210110121120
4103012002131010
51124002200040
651442113540
710636634034
oct2306023504
9738713546
10320350020
11154913791
128b34b8b0
13514a4633
143078d8c4
151d1cd7d0
hex13182744

320350020 has 96 divisors (see below), whose sum is σ = 922078080. Its totient is φ = 83066880.

The previous prime is 320349983. The next prime is 320350021. The reversal of 320350020 is 20053023.

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

It is not an unprimeable number, because it can be changed into a prime (320350021) 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 31 ways as a sum of consecutive naturals, for example, 416196 + ... + 416964.

It is an arithmetic number, because the mean of its divisors is an integer number (9604980).

Almost surely, 2320350020 is an apocalyptic number.

320350020 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 320350020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461039040).

320350020 is an abundant number, since it is smaller than the sum of its proper divisors (601728060).

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

320350020 is a wasteful number, since it uses less digits than its factorization.

320350020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 320350020 is about 17898.3245025896. The cubic root of 320350020 is about 684.2396735408.

The spelling of 320350020 in words is "three hundred twenty million, three hundred fifty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 131 159 212 262 265 318 393 524 530 636 655 769 786 795 1060 1310 1538 1572 1590 1965 2307 2620 3076 3180 3845 3930 4614 6943 7690 7860 9228 11535 13886 15380 20829 23070 27772 34715 40757 41658 46140 69430 81514 83316 100739 104145 122271 138860 163028 201478 203785 208290 244542 302217 402956 407570 416580 489084 503695 604434 611355 815140 1007390 1208868 1222710 1511085 2014780 2445420 3022170 5339167 6044340 10678334 16017501 21356668 26695835 32035002 53391670 64070004 80087505 106783340 160175010 320350020