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317340240 = 24357474019
BaseRepresentation
bin10010111010100…
…011101001010000
3211010010112222020
4102322203221100
51122214341430
651253411440
710602230130
oct2272435120
9733115866
10317340240
11153148468
128a339b80
135098c6b9
1430208ac0
151ccd6b10
hex12ea3a50

317340240 has 160 divisors (see below), whose sum is σ = 1148497920. Its totient is φ = 70973952.

The previous prime is 317340229. The next prime is 317340281. The reversal of 317340240 is 42043713.

317340240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 317340240.

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 31 ways as a sum of consecutive naturals, for example, 76951 + ... + 80969.

It is an arithmetic number, because the mean of its divisors is an integer number (7178112).

Almost surely, 2317340240 is an apocalyptic number.

317340240 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 317340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574248960).

317340240 is an abundant number, since it is smaller than the sum of its proper divisors (831157680).

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

317340240 is a wasteful number, since it uses less digits than its factorization.

317340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 4083 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 317340240 is about 17814.0461434229. The cubic root of 317340240 is about 682.0900515473.

Adding to 317340240 its reverse (42043713), we get a palindrome (359383953).

The spelling of 317340240 in words is "three hundred seventeen million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 47 48 56 60 70 80 84 94 105 112 120 140 141 168 188 210 235 240 280 282 329 336 376 420 470 560 564 658 705 752 840 940 987 1128 1316 1410 1645 1680 1880 1974 2256 2632 2820 3290 3760 3948 4019 4935 5264 5640 6580 7896 8038 9870 11280 12057 13160 15792 16076 19740 20095 24114 26320 28133 32152 39480 40190 48228 56266 60285 64304 78960 80380 84399 96456 112532 120570 140665 160760 168798 188893 192912 225064 241140 281330 321520 337596 377786 421995 450128 482280 562660 566679 675192 755572 843990 944465 964560 1125320 1133358 1322251 1350384 1511144 1687980 1888930 2250640 2266716 2644502 2833395 3022288 3375960 3777860 3966753 4533432 5289004 5666790 6611255 6751920 7555720 7933506 9066864 10578008 11333580 13222510 15111440 15867012 19833765 21156016 22667160 26445020 31734024 39667530 45334320 52890040 63468048 79335060 105780080 158670120 317340240