Search a number
-
+
4405032324 = 22327114733811
BaseRepresentation
bin1000001101000111…
…10111010110000100
3102100222211211100100
410012203313112010
533010142013244
62005035044100
7214106104560
oct40643672604
912328754310
104405032324
111960586a90
12a2b2a0630
13552805704
142db0686a0
151abaceb69
hex1068f7584

4405032324 has 144 divisors (see below), whose sum is σ = 14178318336. Its totient is φ = 1119787200.

The previous prime is 4405032323. The next prime is 4405032353. The reversal of 4405032324 is 4232305044.

It is not an unprimeable number, because it can be changed into a prime (4405032323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113379 + ... + 147189.

It is an arithmetic number, because the mean of its divisors is an integer number (98460544).

Almost surely, 24405032324 is an apocalyptic number.

4405032324 is a gapful number since it is divisible by the number (44) 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 4405032324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7089159168).

4405032324 is an abundant number, since it is smaller than the sum of its proper divisors (9773286012).

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

4405032324 is a wasteful number, since it uses less digits than its factorization.

4405032324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33886 (or 33881 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 4405032324 is about 66370.4175367309. The cubic root of 4405032324 is about 1639.2670138102.

Adding to 4405032324 its reverse (4232305044), we get a palindrome (8637337368).

The spelling of 4405032324 in words is "four billion, four hundred five million, thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 47 63 66 77 84 94 99 126 132 141 154 188 198 231 252 282 308 329 396 423 462 517 564 658 693 846 924 987 1034 1316 1386 1551 1692 1974 2068 2772 2961 3102 3619 3948 4653 5922 6204 7238 9306 10857 11844 14476 18612 21714 32571 33811 43428 65142 67622 101433 130284 135244 202866 236677 304299 371921 405732 473354 608598 710031 743842 946708 1115763 1217196 1420062 1487684 1589117 2130093 2231526 2603447 2840124 3178234 3347289 4260186 4463052 4767351 5206894 6356468 6694578 7810341 8520372 9534702 10413788 11123819 13389156 14302053 15620682 17480287 19069404 22247638 23431023 28604106 31241364 33371457 34960574 44495276 46862046 52440861 57208212 66742914 69921148 93724092 100114371 104881722 122362009 133485828 157322583 200228742 209763444 244724018 314645166 367086027 400457484 489448036 629290332 734172054 1101258081 1468344108 2202516162 4405032324