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34050064 = 2437113509
BaseRepresentation
bin1000000111100…
…1000000010000
32101001220220111
42001321000100
532204100224
63213451104
7562264216
oct201710020
971056814
1034050064
1118247354
12b4a0a94
137092589
144744cb6
152ec8d94
hex2079010

34050064 has 40 divisors (see below), whose sum is σ = 68488920. Its totient is φ = 16386048.

The previous prime is 34050061. The next prime is 34050067. The reversal of 34050064 is 46005043.

It is an interprime number because it is at equal distance from previous prime (34050061) and next prime (34050067).

It can be written as a sum of positive squares in 4 ways, for example, as 6801664 + 27248400 = 2608^2 + 5220^2 .

It is not an unprimeable number, because it can be changed into a prime (34050061) 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 7 ways as a sum of consecutive naturals, for example, 66642 + ... + 67150.

It is an arithmetic number, because the mean of its divisors is an integer number (1712223).

Almost surely, 234050064 is an apocalyptic number.

It is an amenable number.

34050064 is an abundant number, since it is smaller than the sum of its proper divisors (34438856).

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

34050064 is a wasteful number, since it uses less digits than its factorization.

34050064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 34050064 is about 5835.2432682794. The cubic root of 34050064 is about 324.1201099166.

The spelling of 34050064 in words is "thirty-four million, fifty thousand, sixty-four", and thus it is an eban number.

Divisors: 1 2 4 8 16 37 74 113 148 226 296 452 509 592 904 1018 1808 2036 4072 4181 8144 8362 16724 18833 33448 37666 57517 66896 75332 115034 150664 230068 301328 460136 920272 2128129 4256258 8512516 17025032 34050064