Search a number
-
+
32241330 = 232511291123
BaseRepresentation
bin111101011111…
…1011010110010
32020200000210100
41322333122302
531223210310
63111013230
7541022022
oct172773262
966600710
1032241330
1117221430
12a96a216
1368ab214
1443d3a82
152c6cec0
hex1ebf6b2

32241330 has 96 divisors (see below), whose sum is σ = 94685760. Its totient is φ = 7539840.

The previous prime is 32241311. The next prime is 32241337. The reversal of 32241330 is 3314223.

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

It is not an unprimeable number, because it can be changed into a prime (32241337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28149 + ... + 29271.

It is an arithmetic number, because the mean of its divisors is an integer number (986310).

Almost surely, 232241330 is an apocalyptic number.

32241330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32241330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47342880).

32241330 is an abundant number, since it is smaller than the sum of its proper divisors (62444430).

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

32241330 is a wasteful number, since it uses less digits than its factorization.

32241330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 32241330 is about 5678.1449435533. The cubic root of 32241330 is about 318.2763114029.

Adding to 32241330 its reverse (3314223), we get a palindrome (35555553).

It can be divided in two parts, 3224 and 1330, that added together give a palindrome (4554).

The spelling of 32241330 in words is "thirty-two million, two hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 29 30 33 45 55 58 66 87 90 99 110 145 165 174 198 261 290 319 330 435 495 522 638 870 957 990 1123 1305 1595 1914 2246 2610 2871 3190 3369 4785 5615 5742 6738 9570 10107 11230 12353 14355 16845 20214 24706 28710 32567 33690 37059 50535 61765 65134 74118 97701 101070 111177 123530 162835 185295 195402 222354 293103 325670 358237 370590 488505 555885 586206 716474 977010 1074711 1111770 1465515 1791185 2149422 2931030 3224133 3582370 5373555 6448266 10747110 16120665 32241330