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394378320 = 24357234749
BaseRepresentation
bin10111100000011…
…011110001010000
31000111002111100110
4113200123301100
51301430101240
6103044521320
712526106010
oct2740336120
91014074313
10394378320
111926862a6
12b00b0240
136392386b
143a53dc40
1524952c80
hex1781bc50

394378320 has 80 divisors (see below), whose sum is σ = 1397232000. Its totient is φ = 90143232.

The previous prime is 394378319. The next prime is 394378321. The reversal of 394378320 is 23873493.

It is an interprime number because it is at equal distance from previous prime (394378319) and next prime (394378321).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394378321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 115695 + ... + 119054.

It is an arithmetic number, because the mean of its divisors is an integer number (17465400).

Almost surely, 2394378320 is an apocalyptic number.

394378320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

394378320 is an abundant number, since it is smaller than the sum of its proper divisors (1002853680).

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

394378320 is a wasteful number, since it uses less digits than its factorization.

394378320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234772 (or 234766 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 394378320 is about 19858.9606978814. The cubic root of 394378320 is about 733.3382607566.

The spelling of 394378320 in words is "three hundred ninety-four million, three hundred seventy-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 234749 469498 704247 938996 1173745 1408494 1643243 1877992 2347490 2816988 3286486 3521235 3755984 4694980 4929729 5633976 6572972 7042470 8216215 9389960 9859458 11267952 13145944 14084940 16432430 18779920 19718916 24648645 26291888 28169880 32864860 39437832 49297290 56339760 65729720 78875664 98594580 131459440 197189160 394378320