Search a number
-
+
394144940 = 225713121491
BaseRepresentation
bin10111011111100…
…010110010101100
31000110122122012202
4113133202302230
51301400114230
6103035521032
712524114420
oct2737426254
91013578182
10394144940
11192536a22
12abbb9178
1363871577
143a4bcb80
1524908a45
hex177e2cac

394144940 has 48 divisors (see below), whose sum is σ = 953213184. Its totient is φ = 134097600.

The previous prime is 394144939. The next prime is 394144963. The reversal of 394144940 is 49441493.

It is a happy number.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 394144894 and 394144903.

It is an unprimeable number.

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, 7595 + ... + 29085.

It is an arithmetic number, because the mean of its divisors is an integer number (19858608).

Almost surely, 2394144940 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 394144940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476606592).

394144940 is an abundant number, since it is smaller than the sum of its proper divisors (559068244).

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

394144940 is a wasteful number, since it uses less digits than its factorization.

394144940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21638 (or 21636 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 394144940 is about 19853.0838914260. The cubic root of 394144940 is about 733.1935771323.

The spelling of 394144940 in words is "three hundred ninety-four million, one hundred forty-four thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 131 140 262 524 655 917 1310 1834 2620 3668 4585 9170 18340 21491 42982 85964 107455 150437 214910 300874 429820 601748 752185 1504370 2815321 3008740 5630642 11261284 14076605 19707247 28153210 39414494 56306420 78828988 98536235 197072470 394144940