Search a number
-
+
3204320 = 25572861
BaseRepresentation
bin1100001110010011100000
320000210111112
430032103200
51310014240
6152402452
736144020
oct14162340
96023445
103204320
1118994a9
1210a6428
13882662
145d5a80
15434665
hex30e4e0

3204320 has 48 divisors (see below), whose sum is σ = 8654688. Its totient is φ = 1098240.

The previous prime is 3204307. The next prime is 3204373. The reversal of 3204320 is 234023.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 3204295 and 3204304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 311 + ... + 2550.

It is an arithmetic number, because the mean of its divisors is an integer number (180306).

Almost surely, 23204320 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 3204320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327344).

3204320 is an abundant number, since it is smaller than the sum of its proper divisors (5450368).

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

3204320 is a wasteful number, since it uses less digits than its factorization.

3204320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 3204320 is about 1790.0614514591. The cubic root of 3204320 is about 147.4275426943.

Adding to 3204320 its reverse (234023), we get a palindrome (3438343).

The spelling of 3204320 in words is "three million, two hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 2861 5722 11444 14305 20027 22888 28610 40054 45776 57220 80108 91552 100135 114440 160216 200270 228880 320432 400540 457760 640864 801080 1602160 3204320