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394744320 = 293355711
BaseRepresentation
bin10111100001110…
…101001000000000
31000111210002102000
4113201311020000
51302023304240
6103100424000
712532162035
oct2741651000
91014702360
10394744320
11192906283
12b0248000
1363a21329
143a5d738c
15249c6430
hex17875200

394744320 has 160 divisors (see below), whose sum is σ = 1402410240. Its totient is φ = 105246720.

The previous prime is 394744303. The next prime is 394744333. The reversal of 394744320 is 23447493.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 66265 + ... + 71975.

It is an arithmetic number, because the mean of its divisors is an integer number (8765064).

Almost surely, 2394744320 is an apocalyptic number.

394744320 is a gapful number since it is divisible by the number (30) 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 394744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701205120).

394744320 is an abundant number, since it is smaller than the sum of its proper divisors (1007665920).

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

394744320 is an equidigital number, since it uses as much as digits as its factorization.

394744320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5743 (or 5721 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 394744320 is about 19868.1735446417. The cubic root of 394744320 is about 733.5650470708.

The spelling of 394744320 in words is "three hundred ninety-four million, seven hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3456 3840 4320 4608 5711 5760 6912 7680 8640 11422 11520 13824 17133 17280 22844 23040 28555 34266 34560 45688 51399 57110 68532 69120 85665 91376 102798 114220 137064 154197 171330 182752 205596 228440 256995 274128 308394 342660 365504 411192 456880 513990 548256 616788 685320 731008 770985 822384 913760 1027980 1096512 1233576 1370640 1462016 1541970 1644768 1827520 2055960 2193024 2467152 2741280 2924032 3083940 3289536 3655040 4111920 4386048 4934304 5482560 6167880 6579072 7310080 8223840 8772096 9868608 10965120 12335760 13158144 14620160 16447680 19737216 21930240 24671520 26316288 32895360 39474432 43860480 49343040 65790720 78948864 98686080 131581440 197372160 394744320