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394402000 = 24531997107
BaseRepresentation
bin10111100000100…
…001100011010000
31000111010200211111
4113200201203100
51301431331000
6103045223104
712526235026
oct2740414320
91014120744
10394402000
111926a2073
12b0101a94
1363931585
143a548716
1524959cba
hex178218d0

394402000 has 160 divisors (see below), whose sum is σ = 1023684480. Its totient is φ = 146534400.

The previous prime is 394401941. The next prime is 394402007. The reversal of 394402000 is 204493.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394402007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3685947 + ... + 3686053.

It is an arithmetic number, because the mean of its divisors is an integer number (6398028).

Almost surely, 2394402000 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 394402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511842240).

394402000 is an abundant number, since it is smaller than the sum of its proper divisors (629282480).

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

394402000 is a wasteful number, since it uses less digits than its factorization.

394402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 394402000 is about 19859.5568933448. The cubic root of 394402000 is about 733.3529379516.

Adding to 394402000 its reverse (204493), we get a palindrome (394606493).

The spelling of 394402000 in words is "three hundred ninety-four million, four hundred two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 97 100 107 125 152 190 194 200 214 250 304 380 388 400 428 475 485 500 535 760 776 856 950 970 1000 1070 1520 1552 1712 1843 1900 1940 2000 2033 2140 2375 2425 2675 3686 3800 3880 4066 4280 4750 4850 5350 7372 7600 7760 8132 8560 9215 9500 9700 10165 10379 10700 12125 13375 14744 16264 18430 19000 19400 20330 20758 21400 24250 26750 29488 32528 36860 38000 38800 40660 41516 42800 46075 48500 50825 51895 53500 73720 81320 83032 92150 97000 101650 103790 107000 147440 162640 166064 184300 194000 197201 203300 207580 214000 230375 254125 259475 368600 394402 406600 415160 460750 508250 518950 737200 788804 813200 830320 921500 986005 1016500 1037900 1297375 1577608 1843000 1972010 2033000 2075800 2594750 3155216 3686000 3944020 4066000 4151600 4930025 5189500 7888040 9860050 10379000 15776080 19720100 20758000 24650125 39440200 49300250 78880400 98600500 197201000 394402000