Search a number
-
+
317028384 = 25331312801
BaseRepresentation
bin10010111001010…
…111100000100000
3211002112201012000
4102321113200200
51122124402014
651243004000
710566461001
oct2271274040
9732481160
10317028384
11152a55132
128a209600
13508b077a
14301671a8
151cc74509
hex12e57820

317028384 has 96 divisors (see below), whose sum is σ = 932057280. Its totient is φ = 104832000.

The previous prime is 317028367. The next prime is 317028401. The reversal of 317028384 is 483820713.

It is an interprime number because it is at equal distance from previous prime (317028367) and next prime (317028401).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111784 + ... + 114584.

It is an arithmetic number, because the mean of its divisors is an integer number (9708930).

Almost surely, 2317028384 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 317028384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466028640).

317028384 is an abundant number, since it is smaller than the sum of its proper divisors (615028896).

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

317028384 is a wasteful number, since it uses less digits than its factorization.

317028384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 317028384 is about 17805.2908990558. The cubic root of 317028384 is about 681.8665442350.

The spelling of 317028384 in words is "three hundred seventeen million, twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 131 144 216 262 288 393 432 524 786 864 1048 1179 1572 2096 2358 2801 3144 3537 4192 4716 5602 6288 7074 8403 9432 11204 12576 14148 16806 18864 22408 25209 28296 33612 37728 44816 50418 56592 67224 75627 89632 100836 113184 134448 151254 201672 268896 302508 366931 403344 605016 733862 806688 1100793 1210032 1467724 2201586 2420064 2935448 3302379 4403172 5870896 6604758 8806344 9907137 11741792 13209516 17612688 19814274 26419032 35225376 39628548 52838064 79257096 105676128 158514192 317028384