Search a number
-
+
332424 = 233719
BaseRepresentation
bin1010001001010001000
3121220000000
41101022020
541114144
611043000
72553111
oct1211210
9556000
10332424
11207834
12140460
13b8401
1489208
1568769
hex51288

332424 has 64 divisors (see below), whose sum is σ = 984000. Its totient is φ = 104976.

The previous prime is 332417. The next prime is 332441. The reversal of 332424 is 424233.

It is a super-2 number, since 2×3324242 = 221011431552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

Its product of digits (576) is a multiple of the sum of its prime divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 332397 and 332406.

It is an unprimeable number.

332424 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17487 + ... + 17505.

It is an arithmetic number, because the mean of its divisors is an integer number (15375).

2332424 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 332424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492000).

332424 is an abundant number, since it is smaller than the sum of its proper divisors (651576).

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

332424 is an equidigital number, since it uses as much as digits as its factorization.

332424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 24 counting only the distinct ones).

The product of its digits is 576, while the sum is 18.

The square root of 332424 is about 576.5622256097. The cubic root of 332424 is about 69.2730203630.

Adding to 332424 its reverse (424233), we get a palindrome (756657).

Subtracting 332424 from its reverse (424233), we obtain a square (91809 = 3032).

The spelling of 332424 in words is "three hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 456 486 513 648 684 729 972 1026 1368 1458 1539 1944 2052 2187 2916 3078 4104 4374 4617 5832 6156 8748 9234 12312 13851 17496 18468 27702 36936 41553 55404 83106 110808 166212 332424