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34311100 = 22521720183
BaseRepresentation
bin1000001011100…
…0101110111100
32101120011222111
42002320232330
532240423400
63223223404
7564432235
oct202705674
971504874
1034311100
111840548a
12b5a7b64
137154335
1447b208c
15302b3ba
hex20b8bbc

34311100 has 36 divisors (see below), whose sum is σ = 78838704. Its totient is φ = 12916480.

The previous prime is 34311091. The next prime is 34311133. The reversal of 34311100 is 111343.

34311100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8392 + ... + 11791.

It is an arithmetic number, because the mean of its divisors is an integer number (2189964).

Almost surely, 234311100 is an apocalyptic number.

It is an amenable number.

34311100 is an abundant number, since it is smaller than the sum of its proper divisors (44527604).

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

34311100 is a wasteful number, since it uses less digits than its factorization.

34311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20214 (or 20207 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 34311100 is about 5857.5677546231. The cubic root of 34311100 is about 324.9462633048.

Adding to 34311100 its reverse (111343), we get a palindrome (34422443).

The spelling of 34311100 in words is "thirty-four million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 20183 40366 80732 100915 201830 343111 403660 504575 686222 1009150 1372444 1715555 2018300 3431110 6862220 8577775 17155550 34311100