Search a number
-
+
395216934 = 23779311383
BaseRepresentation
bin10111100011101…
…000100000100110
31000112200002201020
4113203220200212
51302133420214
6103114512010
712536200650
oct2743504046
91015602636
10395216934
111930a9372
12b0435606
1363b58498
143a6bb6d0
1524a6b4a9
hex178e8826

395216934 has 64 divisors (see below), whose sum is σ = 920125440. Its totient is φ = 110841120.

The previous prime is 395216911. The next prime is 395216947. The reversal of 395216934 is 439612593.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1031707 + ... + 1032089.

It is an arithmetic number, because the mean of its divisors is an integer number (14376960).

Almost surely, 2395216934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395216934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460062720).

395216934 is an abundant number, since it is smaller than the sum of its proper divisors (524908506).

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

395216934 is a wasteful number, since it uses less digits than its factorization.

395216934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785.

The product of its digits is 174960, while the sum is 42.

The square root of 395216934 is about 19880.0637322922. The cubic root of 395216934 is about 733.8576878379.

The spelling of 395216934 in words is "three hundred ninety-five million, two hundred sixteen thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 79 158 237 311 383 474 553 622 766 933 1106 1149 1659 1866 2177 2298 2681 3318 4354 5362 6531 8043 13062 16086 24569 30257 49138 60514 73707 90771 119113 147414 171983 181542 211799 238226 343966 357339 423598 515949 635397 714678 833791 1031898 1270794 1667582 2501373 5002746 9409927 18819854 28229781 56459562 65869489 131738978 197608467 395216934