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317868768 = 25327295437
BaseRepresentation
bin10010111100100…
…100101011100000
3211011010101222100
4102330210223200
51122333300033
651313010400
710606561050
oct2274445340
9734111870
10317868768
11153479568
128a553a00
1350b16139
1430305560
151cd8d513
hex12f24ae0

317868768 has 144 divisors (see below), whose sum is σ = 1068893280. Its totient is φ = 87671808.

The previous prime is 317868767. The next prime is 317868773. The reversal of 317868768 is 867868713.

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317868767) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 55746 + ... + 61182.

It is an arithmetic number, because the mean of its divisors is an integer number (7422870).

Almost surely, 2317868768 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 317868768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534446640).

317868768 is an abundant number, since it is smaller than the sum of its proper divisors (751024512).

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

317868768 is a wasteful number, since it uses less digits than its factorization.

317868768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5489 (or 5478 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 317868768 is about 17828.8745578626. The cubic root of 317868768 is about 682.4685136221.

Subtracting 317868768 from its reverse (867868713), we obtain a palindrome (549999945).

The spelling of 317868768 in words is "three hundred seventeen million, eight hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 72 84 87 96 112 116 126 144 168 174 203 224 232 252 261 288 336 348 406 464 504 522 609 672 696 812 928 1008 1044 1218 1392 1624 1827 2016 2088 2436 2784 3248 3654 4176 4872 5437 6496 7308 8352 9744 10874 14616 16311 19488 21748 29232 32622 38059 43496 48933 58464 65244 76118 86992 97866 114177 130488 152236 157673 173984 195732 228354 260976 304472 315346 342531 391464 456708 473019 521952 608944 630692 685062 782928 913416 946038 1103711 1217888 1261384 1370124 1419057 1565856 1826832 1892076 2207422 2522768 2740248 2838114 3311133 3653664 3784152 4414844 5045536 5480496 5676228 6622266 7568304 8829688 9933399 10960992 11352456 13244532 15136608 17659376 19866798 22704912 26489064 35318752 39733596 45409824 52978128 79467192 105956256 158934384 317868768