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317329152 = 283767881
BaseRepresentation
bin10010111010100…
…000111100000000
3211010002222202120
4102322200330000
51122214013102
651253244240
710602152610
oct2272407400
9733088676
10317329152
111531400a8
128a333680
135098763a
1430204a40
151ccd36bc
hex12ea0f00

317329152 has 144 divisors (see below), whose sum is σ = 980727552. Its totient is φ = 89210880.

The previous prime is 317329147. The next prime is 317329163. The reversal of 317329152 is 251923713.

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 15 ways as a sum of consecutive naturals, for example, 359752 + ... + 360632.

It is an arithmetic number, because the mean of its divisors is an integer number (6810608).

Almost surely, 2317329152 is an apocalyptic number.

317329152 is a gapful number since it is divisible by the number (32) 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 317329152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490363776).

317329152 is an abundant number, since it is smaller than the sum of its proper divisors (663398400).

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

317329152 is an equidigital number, since it uses as much as digits as its factorization.

317329152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 960 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 317329152 is about 17813.7349256129. The cubic root of 317329152 is about 682.0821072847.

The spelling of 317329152 in words is "three hundred seventeen million, three hundred twenty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 67 84 96 112 128 134 168 192 201 224 256 268 336 384 402 448 469 536 672 768 804 881 896 938 1072 1344 1407 1608 1762 1792 1876 2144 2643 2688 2814 3216 3524 3752 4288 5286 5376 5628 6167 6432 7048 7504 8576 10572 11256 12334 12864 14096 15008 17152 18501 21144 22512 24668 25728 28192 30016 37002 42288 45024 49336 51456 56384 59027 60032 74004 84576 90048 98672 112768 118054 120064 148008 169152 177081 180096 197344 225536 236108 296016 338304 354162 360192 394688 413189 472216 592032 676608 708324 789376 826378 944432 1184064 1239567 1416648 1578752 1652756 1888864 2368128 2479134 2833296 3305512 3777728 4736256 4958268 5666592 6611024 7555456 9916536 11333184 13222048 15110912 19833072 22666368 26444096 39666144 45332736 52888192 79332288 105776384 158664576 317329152