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319094496 = 25327831907
BaseRepresentation
bin10011000001001…
…111111011100000
3211020102200100200
4103001033323200
51123142010441
651355145200
710623154440
oct2301177340
9736380320
10319094496
11154136466
128aa45200
1351155016
1430544120
151d0317b6
hex1304fee0

319094496 has 144 divisors (see below), whose sum is σ = 1050102144. Its totient is φ = 90024192.

The previous prime is 319094473. The next prime is 319094551. The reversal of 319094496 is 694490913.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166375 + ... + 168281.

It is an arithmetic number, because the mean of its divisors is an integer number (7292376).

Almost surely, 2319094496 is an apocalyptic number.

319094496 is a gapful number since it is divisible by the number (36) 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 319094496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525051072).

319094496 is an abundant number, since it is smaller than the sum of its proper divisors (731007648).

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

319094496 is a wasteful number, since it uses less digits than its factorization.

319094496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 319094496 is about 17863.2162837491. The cubic root of 319094496 is about 683.3446066486.

The spelling of 319094496 in words is "three hundred nineteen million, ninety-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 83 84 96 112 126 144 166 168 224 249 252 288 332 336 498 504 581 664 672 747 996 1008 1162 1328 1494 1743 1907 1992 2016 2324 2656 2988 3486 3814 3984 4648 5229 5721 5976 6972 7628 7968 9296 10458 11442 11952 13349 13944 15256 17163 18592 20916 22884 23904 26698 27888 30512 34326 40047 41832 45768 53396 55776 61024 68652 80094 83664 91536 106792 120141 137304 158281 160188 167328 183072 213584 240282 274608 316562 320376 427168 474843 480564 549216 633124 640752 949686 961128 1107967 1266248 1281504 1424529 1899372 1922256 2215934 2532496 2849058 3323901 3798744 3844512 4431868 5064992 5698116 6647802 7597488 8863736 9971703 11396232 13295604 15194976 17727472 19943406 22792464 26591208 35454944 39886812 45584928 53182416 79773624 106364832 159547248 319094496