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3403434100 = 22521110313001
BaseRepresentation
bin1100101011011100…
…0100100001110100
322210012011100212211
43022313010201310
523432234342400
61321415223204
7150224466253
oct31267044164
98705140784
103403434100
111497171460
127ab977b04
13423158c41
1424402279a
1514dbd4dba
hexcadc4874

3403434100 has 72 divisors (see below), whose sum is σ = 8067358656. Its totient is φ = 1236000000.

The previous prime is 3403434091. The next prime is 3403434121. The reversal of 3403434100 is 14343043.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 1132600 + ... + 1135600.

It is an arithmetic number, because the mean of its divisors is an integer number (112046648).

Almost surely, 23403434100 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 3403434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033679328).

3403434100 is an abundant number, since it is smaller than the sum of its proper divisors (4663924556).

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

3403434100 is a wasteful number, since it uses less digits than its factorization.

3403434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057 (or 4050 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3403434100 is about 58338.9586811421. The cubic root of 3403434100 is about 1504.2006844447.

Adding to 3403434100 its reverse (14343043), we get a palindrome (3417777143).

It can be divided in two parts, 340343 and 4100, that added together give a palindrome (344443).

The spelling of 3403434100 in words is "three billion, four hundred three million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1031 1100 2062 3001 4124 5155 6002 10310 11341 12004 15005 20620 22682 25775 30010 33011 45364 51550 56705 60020 66022 75025 103100 113410 132044 150050 165055 226820 283525 300100 330110 567050 660220 825275 1134100 1650550 3094031 3301100 6188062 12376124 15470155 30940310 34034341 61880620 68068682 77350775 136137364 154701550 170171705 309403100 340343410 680686820 850858525 1701717050 3403434100