[go: up one dir, main page]

Search a number
-
+
324064 = 25131941
BaseRepresentation
bin1001111000111100000
3121110112101
41033013200
540332224
610540144
72516536
oct1170740
9543471
10324064
11201524
12137654
13b4670
1486156
1566044
hex4f1e0

324064 has 48 divisors (see below), whose sum is σ = 740880. Its totient is φ = 138240.

The previous prime is 324053. The next prime is 324067. The reversal of 324064 is 460423.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7884 + ... + 7924.

It is an arithmetic number, because the mean of its divisors is an integer number (15435).

2324064 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 324064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370440).

324064 is an abundant number, since it is smaller than the sum of its proper divisors (416816).

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

324064 is a wasteful number, since it uses less digits than its factorization.

324064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 324064 is about 569.2661943239. The cubic root of 324064 is about 68.6873765833.

Adding to 324064 its reverse (460423), we get a palindrome (784487).

It can be divided in two parts, 32 and 4064, that added together give a 12-th power (4096 = 212).

The spelling of 324064 in words is "three hundred twenty-four thousand, sixty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 41 52 76 82 104 152 164 208 247 304 328 416 494 533 608 656 779 988 1066 1312 1558 1976 2132 3116 3952 4264 6232 7904 8528 10127 12464 17056 20254 24928 40508 81016 162032 324064