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34134100 = 225271121331
BaseRepresentation
bin1000001000110…
…1100001010100
32101020012011221
42002031201110
532214242400
63215340124
7563064220
oct202154124
971205157
1034134100
11182a4500
12b521644
1370c18c0
144767780
152ee3c1a
hex208d854

34134100 has 216 divisors, whose sum is σ = 103437824. Its totient is φ = 9504000.

The previous prime is 34134077. The next prime is 34134101. The reversal of 34134100 is 143143.

Adding to 34134100 its reverse (143143), we get a palindrome (34277243).

It can be divided in two parts, 341 and 34100, that multiplied together give a square (11628100 = 34102).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34134101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1101085 + ... + 1101115.

Almost surely, 234134100 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 34134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51718912).

34134100 is an abundant number, since it is smaller than the sum of its proper divisors (69303724).

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

34134100 is a wasteful number, since it uses less digits than its factorization.

34134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 34134100 is about 5842.4395589514. The cubic root of 34134100 is about 324.3865350694.

The spelling of 34134100 in words is "thirty-four million, one hundred thirty-four thousand, one hundred".