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34118064 = 243378977
BaseRepresentation
bin1000001000100…
…1100110110000
32101012101012000
42002021212300
532213234224
63215134000
7562666401
oct202114660
971171160
1034118064
1118293452
12b514300
1370b7506
1447619a8
152ede0c9
hex20899b0

34118064 has 40 divisors (see below), whose sum is σ = 97932720. Its totient is φ = 11372544.

The previous prime is 34118057. The next prime is 34118089. The reversal of 34118064 is 46081143.

It is a super-2 number, since 2×341180642 = 2328084582216192, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39057 + ... + 39920.

It is an arithmetic number, because the mean of its divisors is an integer number (2448318).

Almost surely, 234118064 is an apocalyptic number.

It is an amenable number.

34118064 is an abundant number, since it is smaller than the sum of its proper divisors (63814656).

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

34118064 is a wasteful number, since it uses less digits than its factorization.

34118064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78994 (or 78982 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 34118064 is about 5841.0670258096. The cubic root of 34118064 is about 324.3357288152.

The spelling of 34118064 in words is "thirty-four million, one hundred eighteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 78977 157954 236931 315908 473862 631816 710793 947724 1263632 1421586 1895448 2132379 2843172 3790896 4264758 5686344 8529516 11372688 17059032 34118064