Search a number
-
+
384426 = 2357113
BaseRepresentation
bin1011101110110101010
3201112100000
41131312222
544300201
612123430
73160530
oct1356652
9645300
10384426
11242909
12166576
13105c93
14a0150
1578d86
hex5ddaa

384426 has 48 divisors (see below), whose sum is σ = 995904. Its totient is φ = 108864.

The previous prime is 384407. The next prime is 384437. The reversal of 384426 is 624483.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 384426.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3346 + ... + 3458.

It is an arithmetic number, because the mean of its divisors is an integer number (20748).

2384426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497952).

384426 is an abundant number, since it is smaller than the sum of its proper divisors (611478).

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

384426 is a wasteful number, since it uses less digits than its factorization.

384426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 384426 is about 620.0209673874. The cubic root of 384426 is about 72.7116920222.

The spelling of 384426 in words is "three hundred eighty-four thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 113 126 162 189 226 243 339 378 486 567 678 791 1017 1134 1582 1701 2034 2373 3051 3402 4746 6102 7119 9153 14238 18306 21357 27459 42714 54918 64071 128142 192213 384426