Search a number
-
+
317385216 = 29352551
BaseRepresentation
bin10010111010101…
…110101000000000
3211010012211200000
4102322232220000
51122222311331
651254400000
710602505221
oct2272565000
9733184600
10317385216
11153179235
128a360000
13509a7005
143021b248
151cce50e6
hex12eaea00

317385216 has 120 divisors (see below), whose sum is σ = 950293344. Its totient is φ = 105753600.

The previous prime is 317385209. The next prime is 317385217. The reversal of 317385216 is 612583713.

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

It is not an unprimeable number, because it can be changed into a prime (317385217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123141 + ... + 125691.

Almost surely, 2317385216 is an apocalyptic number.

317385216 is a gapful number since it is divisible by the number (36) 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 317385216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475146672).

317385216 is an abundant number, since it is smaller than the sum of its proper divisors (632908128).

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

317385216 is an frugal number, since it uses more digits than its factorization.

317385216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2556 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 317385216 is about 17815.3084733327. The cubic root of 317385216 is about 682.1222737798.

The spelling of 317385216 in words is "three hundred seventeen million, three hundred eighty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1152 1296 1536 1728 1944 2304 2551 2592 3456 3888 4608 5102 5184 6912 7653 7776 10204 10368 13824 15306 15552 20408 20736 22959 30612 31104 40816 41472 45918 61224 62208 68877 81632 91836 122448 124416 137754 163264 183672 206631 244896 275508 326528 367344 413262 489792 551016 619893 653056 734688 826524 979584 1102032 1239786 1306112 1469376 1653048 1959168 2204064 2479572 2938752 3306096 3918336 4408128 4959144 5877504 6612192 8816256 9918288 11755008 13224384 17632512 19836576 26448768 35265024 39673152 52897536 79346304 105795072 158692608 317385216