Search a number
-
+
317355008 = 210793923
BaseRepresentation
bin10010111010100…
…111010000000000
3211010011022020012
4102322213100000
51122220330013
651254004052
710602321155
oct2272472000
9733138205
10317355008
11153158573
128a346628
1350996339
143021022c
151ccdb1a8
hex12ea7400

317355008 has 44 divisors (see below), whose sum is σ = 642594240. Its totient is φ = 156628992.

The previous prime is 317354993. The next prime is 317355053. The reversal of 317355008 is 800553713.

It is a super-2 number, since 2×3173550082 = 201428402205360128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78935 + ... + 82857.

Almost surely, 2317355008 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 317355008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321297120).

317355008 is an abundant number, since it is smaller than the sum of its proper divisors (325239232).

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

317355008 is an equidigital number, since it uses as much as digits as its factorization.

317355008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022 (or 4004 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 317355008 is about 17814.4606429720. The cubic root of 317355008 is about 682.1006321465.

The spelling of 317355008 in words is "three hundred seventeen million, three hundred fifty-five thousand, eight".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 512 632 1024 1264 2528 3923 5056 7846 10112 15692 20224 31384 40448 62768 80896 125536 251072 309917 502144 619834 1004288 1239668 2008576 2479336 4017152 4958672 9917344 19834688 39669376 79338752 158677504 317355008