[go: up one dir, main page]

Search a number
-
+
3001230232 = 2371113894211
BaseRepresentation
bin1011001011100011…
…0010001110011000
321202011100021220021
42302320302032120
522121303331412
61213450440224
7134242015240
oct26270621630
97664307807
103001230232
111300130770
126b9133074
1338aa254a0
14206846b20
15128738607
hexb2e32398

3001230232 has 128 divisors (see below), whose sum is σ = 7642252800. Its totient is φ = 1066982400.

The previous prime is 3001230229. The next prime is 3001230257. The reversal of 3001230232 is 2320321003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 710607 + ... + 714817.

It is an arithmetic number, because the mean of its divisors is an integer number (59705100).

Almost surely, 23001230232 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 3001230232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821126400).

3001230232 is an abundant number, since it is smaller than the sum of its proper divisors (4641022568).

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

3001230232 is a wasteful number, since it uses less digits than its factorization.

3001230232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4337 (or 4333 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3001230232 is about 54783.4850297058. The cubic root of 3001230232 is about 1442.4466879846.

Adding to 3001230232 its reverse (2320321003), we get a palindrome (5321551235).

The spelling of 3001230232 in words is "three billion, one million, two hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 89 91 104 143 154 178 182 286 308 356 364 572 616 623 712 728 979 1001 1144 1157 1246 1958 2002 2314 2492 3916 4004 4211 4628 4984 6853 7832 8008 8099 8422 9256 12727 13706 16198 16844 25454 27412 29477 32396 33688 46321 50908 54743 54824 58954 64792 89089 92642 101816 109486 117908 178178 185284 218972 235816 324247 356356 370568 374779 383201 437944 602173 648494 712712 749558 766402 1204346 1296988 1499116 1532804 2408692 2593976 2623453 2998232 3065608 4122569 4215211 4817384 4872127 5246906 8245138 8430422 9744254 10493812 16490276 16860844 19488508 20987624 28857983 32980552 33721688 34104889 38977016 53593397 57715966 68209778 107186794 115431932 136419556 214373588 230863864 272839112 375153779 428747176 750307558 1500615116 3001230232