Search a number
-
+
395105436 = 223211997741
BaseRepresentation
bin10111100011001…
…101010010011100
31000112110102202200
4113203031102130
51302121333221
6103112251500
712535224615
oct2743152234
91015412680
10395105436
11193032620
12b03a0b90
1363b197cb
143a68cc0c
1524a48426
hex178cd49c

395105436 has 36 divisors (see below), whose sum is σ = 1089534264. Its totient is φ = 119728800.

The previous prime is 395105423. The next prime is 395105471. The reversal of 395105436 is 634501593.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3951054362 = 312216611113500192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 395105436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 498475 + ... + 499266.

Almost surely, 2395105436 is an apocalyptic number.

395105436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

395105436 is an abundant number, since it is smaller than the sum of its proper divisors (694428828).

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

395105436 is a wasteful number, since it uses less digits than its factorization.

395105436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997762 (or 997757 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 395105436 is about 19877.2592678166. The cubic root of 395105436 is about 733.7886697423.

The spelling of 395105436 in words is "three hundred ninety-five million, one hundred five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 997741 1995482 2993223 3990964 5986446 8979669 10975151 11972892 17959338 21950302 32925453 35918676 43900604 65850906 98776359 131701812 197552718 395105436