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317793424 = 2413107109131
BaseRepresentation
bin10010111100010…
…010010010010000
3211010222120121211
4102330102102100
51122323342144
651311225504
710606125304
oct2274222220
9733876554
10317793424
111534279a3
128a518294
1350abaa60
14302c5d04
151cd76034
hex12f12490

317793424 has 80 divisors (see below), whose sum is σ = 680581440. Its totient is φ = 142871040.

The previous prime is 317793401. The next prime is 317793479. The reversal of 317793424 is 424397713.

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, 2425839 + ... + 2425969.

It is an arithmetic number, because the mean of its divisors is an integer number (8507268).

Almost surely, 2317793424 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 317793424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340290720).

317793424 is an abundant number, since it is smaller than the sum of its proper divisors (362788016).

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

317793424 is a wasteful number, since it uses less digits than its factorization.

317793424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 362 counting only the distinct ones).

The product of its digits is 127008, while the sum is 40.

The square root of 317793424 is about 17826.7614557440. The cubic root of 317793424 is about 682.4145878346.

The spelling of 317793424 in words is "three hundred seventeen million, seven hundred ninety-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 107 109 131 208 214 218 262 428 436 524 856 872 1048 1391 1417 1703 1712 1744 2096 2782 2834 3406 5564 5668 6812 11128 11336 11663 13624 14017 14279 22256 22672 23326 27248 28034 28558 46652 56068 57116 93304 112136 114232 151619 182221 185627 186608 224272 228464 303238 364442 371254 606476 728884 742508 1212952 1457768 1485016 1527853 2425904 2915536 2970032 3055706 6111412 12222824 19862089 24445648 39724178 79448356 158896712 317793424