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317236320 = 253251712959
BaseRepresentation
bin10010111010001…
…010010001100000
3211002221021102100
4102322022101200
51122203030240
651251250400
710601315142
oct2272122140
9732837370
10317236320
11153087385
128a2a9a00
13509542cb
14301bcc92
151ccb5e30
hex12e8a460

317236320 has 144 divisors (see below), whose sum is σ = 1146337920. Its totient is φ = 79613952.

The previous prime is 317236289. The next prime is 317236321. The reversal of 317236320 is 23632713.

317236320 is a `hidden beast` number, since 3 + 1 + 7 + 23 + 632 + 0 = 666.

317236320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317236321) 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 23 ways as a sum of consecutive naturals, for example, 18001 + ... + 30959.

It is an arithmetic number, because the mean of its divisors is an integer number (7960680).

Almost surely, 2317236320 is an apocalyptic number.

317236320 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 317236320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573168960).

317236320 is an abundant number, since it is smaller than the sum of its proper divisors (829101600).

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

317236320 is a wasteful number, since it uses less digits than its factorization.

317236320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12997 (or 12986 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 317236320 is about 17811.1291051410. The cubic root of 317236320 is about 682.0155883183.

The spelling of 317236320 in words is "three hundred seventeen million, two hundred thirty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 4080 4896 6120 8160 12240 12959 24480 25918 38877 51836 64795 77754 103672 116631 129590 155508 194385 207344 220303 233262 259180 311016 388770 414688 440606 466524 518360 583155 622032 660909 777540 881212 933048 1036720 1101515 1166310 1244064 1321818 1555080 1762424 1866096 1982727 2073440 2203030 2332620 2643636 3110160 3304545 3524848 3732192 3965454 4406060 4665240 5287272 6220320 6609090 7049696 7930908 8812120 9330480 9913635 10574544 13218180 15861816 17624240 18660960 19827270 21149088 26436360 31723632 35248480 39654540 52872720 63447264 79309080 105745440 158618160 317236320