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34235136 = 283413127
BaseRepresentation
bin1000001010011…
…0001100000000
32101102022210000
42002212030000
532231011021
63221440000
7563664615
oct202461400
971368700
1034235136
1118363401
12b570000
1371288a0
14479250c
153013b26
hex20a6300

34235136 has 180 divisors, whose sum is σ = 110801152. Its totient is φ = 10450944.

The previous prime is 34235119. The next prime is 34235137. The reversal of 34235136 is 63153243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34235137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 269505 + ... + 269631.

Almost surely, 234235136 is an apocalyptic number.

34235136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34235136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55400576).

34235136 is an abundant number, since it is smaller than the sum of its proper divisors (76566016).

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

34235136 is a wasteful number, since it uses less digits than its factorization.

34235136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 145 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 34235136 is about 5851.0799003261. The cubic root of 34235136 is about 324.7062782159.

Adding to 34235136 its reverse (63153243), we get a palindrome (97388379).

The spelling of 34235136 in words is "thirty-four million, two hundred thirty-five thousand, one hundred thirty-six".