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3234001100 = 2252118213581
BaseRepresentation
bin1100000011000010…
…1111000011001100
322100101100021111112
43000300233003030
523110401013400
61252523511152
7143066361431
oct30060570314
98311307445
103234001100
11140a566990
127630884b8
133c7014a25
14229719b88
1513ddb7835
hexc0c2f0cc

3234001100 has 72 divisors (see below), whose sum is σ = 7667228016. Its totient is φ = 1174240000.

The previous prime is 3234001097. The next prime is 3234001109. The reversal of 3234001100 is 11004323.

It is a super-2 number, since 2×32340011002 = 20917526229602420000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3234001109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 901310 + ... + 904890.

It is an arithmetic number, because the mean of its divisors is an integer number (106489278).

Almost surely, 23234001100 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 3234001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833614008).

3234001100 is an abundant number, since it is smaller than the sum of its proper divisors (4433226916).

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

3234001100 is a wasteful number, since it uses less digits than its factorization.

3234001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4427 (or 4420 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3234001100 is about 56868.2785039252. The cubic root of 3234001100 is about 1478.8134359695.

Adding to 3234001100 its reverse (11004323), we get a palindrome (3245005423).

The spelling of 3234001100 in words is "three billion, two hundred thirty-four million, one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 821 1100 1642 3284 3581 4105 7162 8210 9031 14324 16420 17905 18062 20525 35810 36124 39391 41050 45155 71620 78782 82100 89525 90310 157564 179050 180620 196955 225775 358100 393910 451550 787820 903100 984775 1969550 2940001 3939100 5880002 11760004 14700005 29400010 32340011 58800020 64680022 73500025 129360044 147000050 161700055 294000100 323400110 646800220 808500275 1617000550 3234001100