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34163064 = 2332131719113
BaseRepresentation
bin1000001001010…
…0100101111000
32101021122220200
42002110211320
532221204224
63220122200
7563244525
oct202244570
971248820
1034163064
1118314241
12b536360
137101b40
14477414c
152eec5c9
hex2094978

34163064 has 192 divisors, whose sum is σ = 112039200. Its totient is φ = 9289728.

The previous prime is 34163057. The next prime is 34163069. The reversal of 34163064 is 46036143.

It is a super-2 number, since 2×341630642 = 2334229883736192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34163069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302272 + ... + 302384.

Almost surely, 234163064 is an apocalyptic number.

34163064 is a gapful number since it is divisible by the number (34) 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 34163064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56019600).

34163064 is an abundant number, since it is smaller than the sum of its proper divisors (77876136).

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

34163064 is a wasteful number, since it uses less digits than its factorization.

34163064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 34163064 is about 5844.9177924073. The cubic root of 34163064 is about 324.4782603078.

The spelling of 34163064 in words is "thirty-four million, one hundred sixty-three thousand, sixty-four".