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317056480 = 25513313487
BaseRepresentation
bin10010111001011…
…110010111100000
3211002121010201121
4102321132113200
51122131301410
651243342024
710566635626
oct2271362740
9732533647
10317056480
11152a74254
128a221914
13508c04b0
1430173516
151cc7c9da
hex12e5e5e0

317056480 has 96 divisors (see below), whose sum is σ = 810903744. Its totient is φ = 116453376.

The previous prime is 317056471. The next prime is 317056483. The reversal of 317056480 is 84650713.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317056483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 650797 + ... + 651283.

It is an arithmetic number, because the mean of its divisors is an integer number (8446914).

Almost surely, 2317056480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317056480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405451872).

317056480 is an abundant number, since it is smaller than the sum of its proper divisors (493847264).

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

317056480 is a wasteful number, since it uses less digits than its factorization.

317056480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 317056480 is about 17806.0798605420. The cubic root of 317056480 is about 681.8866866549.

The spelling of 317056480 in words is "three hundred seventeen million, fifty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 313 416 487 520 626 974 1040 1252 1565 1948 2080 2435 2504 3130 3896 4069 4870 5008 6260 6331 7792 8138 9740 10016 12520 12662 15584 16276 19480 20345 25040 25324 31655 32552 38960 40690 50080 50648 63310 65104 77920 81380 101296 126620 130208 152431 162760 202592 253240 304862 325520 506480 609724 651040 762155 1012960 1219448 1524310 1981603 2438896 3048620 3963206 4877792 6097240 7926412 9908015 12194480 15852824 19816030 24388960 31705648 39632060 63411296 79264120 158528240 317056480