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994339920 = 243571931151
BaseRepresentation
bin111011010001000…
…110110001010000
32120022000200221110
4323101012301100
54014022334140
6242400053320
733432515130
oct7321066120
92508020843
10994339920
11470308332
12239004240
1312b007b22
14960b6ac0
155c464380
hex3b446c50

994339920 has 160 divisors (see below), whose sum is σ = 3708334080. Its totient is φ = 215308800.

The previous prime is 994339909. The next prime is 994339937. The reversal of 994339920 is 29933499.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 994339920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16345 + ... + 47495.

It is an arithmetic number, because the mean of its divisors is an integer number (23177088).

Almost surely, 2994339920 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 994339920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854167040).

994339920 is an abundant number, since it is smaller than the sum of its proper divisors (2713994160).

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

994339920 is a wasteful number, since it uses less digits than its factorization.

994339920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31193 (or 31187 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 48.

The square root of 994339920 is about 31533.1558839264. The cubic root of 994339920 is about 998.1097358194.

The spelling of 994339920 in words is "nine hundred ninety-four million, three hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 70 76 80 84 95 105 112 114 120 133 140 152 168 190 210 228 240 266 280 285 304 336 380 399 420 456 532 560 570 665 760 798 840 912 1064 1140 1330 1520 1596 1680 1995 2128 2280 2660 3192 3990 4560 5320 6384 7980 10640 15960 31151 31920 62302 93453 124604 155755 186906 218057 249208 311510 373812 436114 467265 498416 591869 623020 654171 747624 872228 934530 1090285 1183738 1246040 1308342 1495248 1744456 1775607 1869060 2180570 2367476 2492080 2616684 2959345 3270855 3488912 3551214 3738120 4143083 4361140 4734952 5233368 5918690 6541710 7102428 7476240 8286166 8722280 8878035 9469904 10466736 11837380 12429249 13083420 14204856 16572332 17444560 17756070 20715415 23674760 24858498 26166840 28409712 33144664 35512140 41430830 47349520 49716996 52333680 62146245 66289328 71024280 82861660 99433992 124292490 142048560 165723320 198867984 248584980 331446640 497169960 994339920