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317343744 = 211341913
BaseRepresentation
bin10010111010100…
…100100000000000
3211010010201210000
4102322210200000
51122214444434
651253440000
710602243264
oct2272444000
9733121700
10317343744
11153150063
128a340000
1350991183
143020a0a4
151ccd7b99
hex12ea4800

317343744 has 120 divisors (see below), whose sum is σ = 948377430. Its totient is φ = 105725952.

The previous prime is 317343737. The next prime is 317343749. The reversal of 317343744 is 447343713.

It can be written as a sum of positive squares in only one way, i.e., 215737344 + 101606400 = 14688^2 + 10080^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 317343699 and 317343708.

It is not an unprimeable number, because it can be changed into a prime (317343749) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 164932 + ... + 166844.

Almost surely, 2317343744 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 317343744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474188715).

317343744 is an abundant number, since it is smaller than the sum of its proper divisors (631033686).

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

317343744 is an equidigital number, since it uses as much as digits as its factorization.

317343744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1918 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 317343744 is about 17814.1444925093. The cubic root of 317343744 is about 682.0925620334.

The spelling of 317343744 in words is "three hundred seventeen million, three hundred forty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 1913 2048 2304 2592 3072 3456 3826 4608 5184 5739 6144 6912 7652 9216 10368 11478 13824 15304 17217 18432 20736 22956 27648 30608 34434 41472 45912 51651 55296 61216 68868 82944 91824 103302 122432 137736 154953 165888 183648 206604 244864 275472 309906 367296 413208 489728 550944 619812 734592 826416 979456 1101888 1239624 1469184 1652832 1958912 2203776 2479248 2938368 3305664 3917824 4407552 4958496 5876736 6611328 8815104 9916992 11753472 13222656 17630208 19833984 26445312 35260416 39667968 52890624 79335936 105781248 158671872 317343744