Search a number
-
+
3325411100 = 2252115951239
BaseRepresentation
bin1100011000110101…
…1011111100011100
322120202100101110002
43012031123330130
523302301123400
61305551033432
7145256346044
oct30615337434
98522311402
103325411100
111457120640
1278980b878
1340cc3b69b
14237912724
15146e21ed5
hexc635bf1c

3325411100 has 72 divisors (see below), whose sum is σ = 8005737600. Its totient is φ = 1188721600.

The previous prime is 3325411079. The next prime is 3325411127. The reversal of 3325411100 is 11145233.

It is a super-2 number, since 2×33254111002 = 22116717968006420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39281 + ... + 90519.

It is an arithmetic number, because the mean of its divisors is an integer number (111190800).

Almost surely, 23325411100 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 3325411100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4002868800).

3325411100 is an abundant number, since it is smaller than the sum of its proper divisors (4680326500).

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

3325411100 is a wasteful number, since it uses less digits than its factorization.

3325411100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51323 (or 51316 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 3325411100 is about 57666.3775522618. The cubic root of 3325411100 is about 1492.6172189406.

Adding to 3325411100 its reverse (11145233), we get a palindrome (3336556333).

The spelling of 3325411100 in words is "three billion, three hundred twenty-five million, four hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 59 100 110 118 220 236 275 295 550 590 649 1100 1180 1298 1475 2596 2950 3245 5900 6490 12980 16225 32450 51239 64900 102478 204956 256195 512390 563629 1024780 1127258 1280975 2254516 2561950 2818145 3023101 5123900 5636290 6046202 11272580 12092404 14090725 15115505 28181450 30231010 33254111 56362900 60462020 66508222 75577525 133016444 151155050 166270555 302310100 332541110 665082220 831352775 1662705550 3325411100