Search a number
-
+
394263738 = 2321121571153
BaseRepresentation
bin10111011111111…
…111110010111010
31000110212200011200
4113133333302322
51301412414423
6103042235030
712525120651
oct2737776272
91013780150
10394263738
11192608200
12b0055a76
13638b366b
143a510198
152492dd43
hex177ffcba

394263738 has 72 divisors (see below), whose sum is σ = 945756084. Its totient is φ = 118609920.

The previous prime is 394263731. The next prime is 394263739. The reversal of 394263738 is 837362493.

394263738 is a `hidden beast` number, since 3 + 9 + 4 + 2 + 637 + 3 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 393347889 + 915849 = 19833^2 + 957^2 .

It is a junction number, because it is equal to n+sod(n) for n = 394263693 and 394263702.

It is not an unprimeable number, because it can be changed into a prime (394263731) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 341370 + ... + 342522.

Almost surely, 2394263738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 394263738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472878042).

394263738 is an abundant number, since it is smaller than the sum of its proper divisors (551492346).

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

394263738 is a wasteful number, since it uses less digits than its factorization.

394263738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1326 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 394263738 is about 19856.0755941349. The cubic root of 394263738 is about 733.2672329310.

The spelling of 394263738 in words is "three hundred ninety-four million, two hundred sixty-three thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 157 198 242 314 363 471 726 942 1089 1153 1413 1727 2178 2306 2826 3454 3459 5181 6918 10362 10377 12683 15543 18997 20754 25366 31086 37994 38049 56991 76098 113982 114147 139513 170973 181021 228294 279026 341946 362042 418539 543063 837078 1086126 1255617 1629189 1991231 2511234 3258378 3982462 5973693 11947386 17921079 21903541 35842158 43807082 65710623 131421246 197131869 394263738