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996385320 = 233357131797
BaseRepresentation
bin111011011000111…
…010001000101000
32120102212121201000
4323120322020220
54020033312240
6242511555000
733456064320
oct7330721050
92512777630
10996385320
11471485047
1223982ba60
1312b572b18
149648a280
155c71a430
hex3b63a228

996385320 has 128 divisors (see below), whose sum is σ = 3795782400. Its totient is φ = 227743488.

The previous prime is 996385309. The next prime is 996385337. The reversal of 996385320 is 23583699.

996385320 is a `hidden beast` number, since 9 + 9 + 638 + 5 + 3 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58339 + ... + 73458.

It is an arithmetic number, because the mean of its divisors is an integer number (29654550).

Almost surely, 2996385320 is an apocalyptic number.

996385320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

996385320 is an abundant number, since it is smaller than the sum of its proper divisors (2799397080).

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

996385320 is a wasteful number, since it uses less digits than its factorization.

996385320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131824 (or 131814 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 996385320 is about 31565.5717515143. The cubic root of 996385320 is about 998.7936519763.

The spelling of 996385320 in words is "nine hundred ninety-six million, three hundred eighty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 131797 263594 395391 527188 658985 790782 922579 1054376 1186173 1317970 1581564 1845158 1976955 2372346 2635940 2767737 3163128 3558519 3690316 3953910 4612895 4744692 5271880 5535474 5930865 7117038 7380632 7907820 8303211 9225790 9489384 11070948 11861730 13838685 14234076 15815640 16606422 17792595 18451580 22141896 23723460 24909633 27677370 28468152 33212844 35585190 36903160 41516055 47446920 49819266 55354740 66425688 71170380 83032110 99638532 110709480 124548165 142340760 166064220 199277064 249096330 332128440 498192660 996385320