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34422080 = 2657112127
BaseRepresentation
bin1000001101001…
…1110101000000
32101202211012212
42003103311000
532303001310
63225441252
7565403630
oct203236500
971684185
1034422080
1118480900
12b640228
1371929c4
1448006c0
15304e205
hex20d3d40

34422080 has 168 divisors, whose sum is σ = 103778304. Its totient is φ = 10644480.

The previous prime is 34422077. The next prime is 34422097. The reversal of 34422080 is 8022443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270977 + ... + 271103.

It is an arithmetic number, because the mean of its divisors is an integer number (617728).

Almost surely, 234422080 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 34422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51889152).

34422080 is an abundant number, since it is smaller than the sum of its proper divisors (69356224).

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

34422080 is a wasteful number, since it uses less digits than its factorization.

34422080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 34422080 is about 5867.0333218757. The cubic root of 34422080 is about 325.2962348333.

The spelling of 34422080 in words is "thirty-four million, four hundred twenty-two thousand, eighty".