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317324340 = 2232511315601
BaseRepresentation
bin10010111010011…
…111110000110100
3211010002202011100
4102322133300310
51122213334330
651253210100
710602132564
oct2272376064
9733082140
10317324340
11153137523
128a330930
13509853a8
1430202da4
151ccd2060
hex12e9fc34

317324340 has 72 divisors (see below), whose sum is σ = 971130888. Its totient is φ = 83865600.

The previous prime is 317324333. The next prime is 317324341. The reversal of 317324340 is 43423713.

317324340 is a `hidden beast` number, since 317 + 3 + 2 + 4 + 340 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22240656 + 295083684 = 4716^2 + 17178^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317324341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12540 + ... + 28140.

It is an arithmetic number, because the mean of its divisors is an integer number (13487929).

Almost surely, 2317324340 is an apocalyptic number.

317324340 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 317324340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485565444).

317324340 is an abundant number, since it is smaller than the sum of its proper divisors (653806548).

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

317324340 is a wasteful number, since it uses less digits than its factorization.

317324340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15729 (or 15724 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 317324340 is about 17813.5998607805. The cubic root of 317324340 is about 682.0786595548.

The spelling of 317324340 in words is "three hundred seventeen million, three hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 3390 4068 5085 6780 10170 15601 20340 31202 46803 62404 78005 93606 140409 156010 187212 234015 280818 312020 468030 561636 702045 936060 1404090 1762913 2808180 3525826 5288739 7051652 8814565 10577478 15866217 17629130 21154956 26443695 31732434 35258260 52887390 63464868 79331085 105774780 158662170 317324340