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4330240 = 28517199
BaseRepresentation
bin10000100001001100000000
322010222222021
4100201030000
52102031430
6232451224
751543415
oct20411400
98128867
104330240
112498412
121549b14
13b87c95
1480a10c
155a807a
hex421300

4330240 has 72 divisors (see below), whose sum is σ = 11037600. Its totient is φ = 1622016.

The previous prime is 4330231. The next prime is 4330241. The reversal of 4330240 is 420334.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4330241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21661 + ... + 21859.

It is an arithmetic number, because the mean of its divisors is an integer number (153300).

Almost surely, 24330240 is an apocalyptic number.

4330240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5518800).

4330240 is an abundant number, since it is smaller than the sum of its proper divisors (6707360).

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

4330240 is a wasteful number, since it uses less digits than its factorization.

4330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 4330240 is about 2080.9228721892. The cubic root of 4330240 is about 162.9936389553.

Adding to 4330240 its reverse (420334), we get a palindrome (4750574).

The spelling of 4330240 in words is "four million, three hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 199 256 272 320 340 398 544 640 680 796 995 1088 1280 1360 1592 1990 2176 2720 3184 3383 3980 4352 5440 6368 6766 7960 10880 12736 13532 15920 16915 21760 25472 27064 31840 33830 50944 54128 63680 67660 108256 127360 135320 216512 254720 270640 433024 541280 866048 1082560 2165120 4330240