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320050080 = 25325731751
BaseRepresentation
bin10011000100111…
…001001110100000
3211022020020011200
4103010321032200
51123413100310
651431441200
710634244420
oct2304711640
9738206150
10320050080
111547293a9
128b226200
13513cac5c
1430712480
151d16e9c0
hex131393a0

320050080 has 144 divisors (see below), whose sum is σ = 1248234624. Its totient is φ = 73152000.

The previous prime is 320050009. The next prime is 320050099. The reversal of 320050080 is 80050023.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5796 + ... + 25955.

It is an arithmetic number, because the mean of its divisors is an integer number (8668296).

Almost surely, 2320050080 is an apocalyptic number.

320050080 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 320050080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624117312).

320050080 is an abundant number, since it is smaller than the sum of its proper divisors (928184544).

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

320050080 is a wasteful number, since it uses less digits than its factorization.

320050080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31779 (or 31768 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 320050080 is about 17889.9435437902. The cubic root of 320050080 is about 684.0260583075.

The spelling of 320050080 in words is "three hundred twenty million, fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 31751 63502 95253 127004 158755 190506 222257 254008 285759 317510 381012 444514 476265 508016 571518 635020 666771 762024 889028 952530 1016032 1111285 1143036 1270040 1333542 1428795 1524048 1778056 1905060 2000313 2222570 2286072 2540080 2667084 2857590 3048096 3333855 3556112 3810120 4000626 4445140 4572144 5080160 5334168 5715180 6667710 7112224 7620240 8001252 8890280 9144288 10001565 10668336 11430360 13335420 15240480 16002504 17780560 20003130 21336672 22860720 26670840 32005008 35561120 40006260 45721440 53341680 64010016 80012520 106683360 160025040 320050080