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394530400 = 255211107419
BaseRepresentation
bin10111100001000…
…000111001100000
31000111101012222001
4113201000321200
51301444433100
6103052053344
712530311255
oct2741007140
91014335861
10394530400
1119277a590
12b0164254
1363977b54
143a57d42c
1524982d6a
hex17840e60

394530400 has 144 divisors (see below), whose sum is σ = 1063056960. Its totient is φ = 141785600.

The previous prime is 394530391. The next prime is 394530403. The reversal of 394530400 is 4035493.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394530403) 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 23 ways as a sum of consecutive naturals, for example, 941391 + ... + 941809.

It is an arithmetic number, because the mean of its divisors is an integer number (7382340).

Almost surely, 2394530400 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 394530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531528480).

394530400 is an abundant number, since it is smaller than the sum of its proper divisors (668526560).

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

394530400 is a wasteful number, since it uses less digits than its factorization.

394530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 394530400 is about 19862.7893308065. The cubic root of 394530400 is about 733.4325118387.

Adding to 394530400 its reverse (4035493), we get a palindrome (398565893).

The spelling of 394530400 in words is "three hundred ninety-four million, five hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 107 110 160 176 200 214 220 275 352 400 419 428 440 535 550 800 838 856 880 1070 1100 1177 1676 1712 1760 2095 2140 2200 2354 2675 3352 3424 4190 4280 4400 4609 4708 5350 5885 6704 8380 8560 8800 9218 9416 10475 10700 11770 13408 16760 17120 18436 18832 20950 21400 23045 23540 29425 33520 36872 37664 41900 42800 44833 46090 47080 58850 67040 73744 83800 85600 89666 92180 94160 115225 117700 147488 167600 179332 184360 188320 224165 230450 235400 335200 358664 368720 448330 460900 470800 493163 717328 737440 896660 921800 941600 986326 1120825 1434656 1793320 1843600 1972652 2241650 2465815 3586640 3687200 3945304 4483300 4931630 7173280 7890608 8966600 9863260 12329075 15781216 17933200 19726520 24658150 35866400 39453040 49316300 78906080 98632600 197265200 394530400