Search a number
-
+
394524 = 223313281
BaseRepresentation
bin1100000010100011100
3202001012000
41200110130
5100111044
612242300
73232134
oct1402434
9661160
10394524
1124a459
12170390
1310a760
14a3ac4
157bd69
hex6051c

394524 has 48 divisors (see below), whose sum is σ = 1105440. Its totient is φ = 120960.

The previous prime is 394523. The next prime is 394529. The reversal of 394524 is 425493.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1264 + ... + 1544.

It is an arithmetic number, because the mean of its divisors is an integer number (23030).

2394524 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 394524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552720).

394524 is an abundant number, since it is smaller than the sum of its proper divisors (710916).

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

394524 is a wasteful number, since it uses less digits than its factorization.

394524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 299 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 394524 is about 628.1114550778. Note that the first 3 decimals coincide. The cubic root of 394524 is about 73.3428545948.

It can be divided in two parts, 3945 and 24, that added together give a square (3969 = 632).

The spelling of 394524 in words is "three hundred ninety-four thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 281 351 468 562 702 843 1124 1404 1686 2529 3372 3653 5058 7306 7587 10116 10959 14612 15174 21918 30348 32877 43836 65754 98631 131508 197262 394524