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34402100 = 2252344021
BaseRepresentation
bin1000001100111…
…0111100110100
32101201210210212
42003032330310
532301331400
63225204552
7565261445
oct203167464
971653725
1034402100
1118467897
12b630758
137186895
1447d72cc
153048335
hex20cef34

34402100 has 18 divisors (see below), whose sum is σ = 74652774. Its totient is φ = 13760800.

The previous prime is 34402099. The next prime is 34402139. The reversal of 34402100 is 120443.

34402100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 10995856 + 23406244 = 3316^2 + 4838^2 .

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 5 ways as a sum of consecutive naturals, for example, 171911 + ... + 172110.

Almost surely, 234402100 is an apocalyptic number.

It is an amenable number.

34402100 is an abundant number, since it is smaller than the sum of its proper divisors (40250674).

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

34402100 is a wasteful number, since it uses less digits than its factorization.

34402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344035 (or 344028 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 34402100 is about 5865.3303402281. The cubic root of 34402100 is about 325.2332841857.

Adding to 34402100 its reverse (120443), we get a palindrome (34522543).

The spelling of 34402100 in words is "thirty-four million, four hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 344021 688042 1376084 1720105 3440210 6880420 8600525 17201050 34402100