Search a number
-
+
394188336 = 24336713619
BaseRepresentation
bin10111011111101…
…101011000110000
31000110201211202000
4113133231120300
51301403011321
6103040454000
712524355063
oct2737553060
91013654660
10394188336
11192566593
12b001a300
1363888249
143a4d08da
1524916826
hex177ed630

394188336 has 80 divisors (see below), whose sum is σ = 1148438400. Its totient is φ = 129425472.

The previous prime is 394188317. The next prime is 394188337. The reversal of 394188336 is 633881493.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 394188291 and 394188300.

It is not an unprimeable number, because it can be changed into a prime (394188337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22135 + ... + 35753.

It is an arithmetic number, because the mean of its divisors is an integer number (14355480).

Almost surely, 2394188336 is an apocalyptic number.

394188336 is a gapful number since it is divisible by the number (36) 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 394188336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574219200).

394188336 is an abundant number, since it is smaller than the sum of its proper divisors (754250064).

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

394188336 is a wasteful number, since it uses less digits than its factorization.

394188336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13703 (or 13691 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 394188336 is about 19854.1767897841. The cubic root of 394188336 is about 733.2204847473.

The spelling of 394188336 in words is "three hundred ninety-four million, one hundred eighty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 108 134 144 201 216 268 402 432 536 603 804 1072 1206 1608 1809 2412 3216 3618 4824 7236 9648 13619 14472 27238 28944 40857 54476 81714 108952 122571 163428 217904 245142 326856 367713 490284 653712 735426 912473 980568 1470852 1824946 1961136 2737419 2941704 3649892 5474838 5883408 7299784 8212257 10949676 14599568 16424514 21899352 24636771 32849028 43798704 49273542 65698056 98547084 131396112 197094168 394188336