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317319828 = 223741199463
BaseRepresentation
bin10010111010011…
…110101010010100
3211010002111222020
4102322132222110
51122213213303
651253133140
710602113460
oct2272365224
9733074866
10317319828
111531340a1
128a32a1b0
1350983317
14302014a0
151ccd0a53
hex12e9ea94

317319828 has 96 divisors (see below), whose sum is σ = 873062400. Its totient is φ = 87816960.

The previous prime is 317319809. The next prime is 317319829. The reversal of 317319828 is 828913713.

317319828 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 317319828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317319829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 685125 + ... + 685587.

It is an arithmetic number, because the mean of its divisors is an integer number (9094400).

Almost surely, 2317319828 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 317319828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436531200).

317319828 is an abundant number, since it is smaller than the sum of its proper divisors (555742572).

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

317319828 is a wasteful number, since it uses less digits than its factorization.

317319828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 715 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 317319828 is about 17813.4732155186. The cubic root of 317319828 is about 682.0754267389.

The spelling of 317319828 in words is "three hundred seventeen million, three hundred nineteen thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 199 246 287 398 463 492 574 597 796 861 926 1148 1194 1389 1393 1722 1852 2388 2778 2786 3241 3444 4179 5556 5572 6482 8159 8358 9723 12964 16318 16716 18983 19446 24477 32636 37966 38892 48954 56949 57113 75932 92137 97908 113898 114226 132881 171339 184274 227796 228452 265762 276411 342678 368548 398643 531524 552822 644959 685356 797286 1105644 1289918 1594572 1934877 2579836 3777617 3869754 7555234 7739508 11332851 15110468 22665702 26443319 45331404 52886638 79329957 105773276 158659914 317319828