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34265088 = 2113211132
BaseRepresentation
bin1000001010110…
…1100000000000
32101110211212100
42002231200000
532232440323
63222230400
7564151134
oct202554000
971424770
1034265088
1118383960
12b585400
137139400
14479d3c4
15301c943
hex20ad800

34265088 has 216 divisors, whose sum is σ = 116904060. Its totient is φ = 9584640.

The previous prime is 34265087. The next prime is 34265117. The reversal of 34265088 is 88056243.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34265087) 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 17 ways as a sum of consecutive naturals, for example, 2635770 + ... + 2635782.

Almost surely, 234265088 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 34265088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58452030).

34265088 is an abundant number, since it is smaller than the sum of its proper divisors (82638972).

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

34265088 is a wasteful number, since it uses less digits than its factorization.

34265088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 34265088 is about 5853.6388682596. The cubic root of 34265088 is about 324.8009447747.

The spelling of 34265088 in words is "thirty-four million, two hundred sixty-five thousand, eighty-eight".