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34140648 = 23323127487
BaseRepresentation
bin1000001000111…
…1000111101000
32101020112011110
42002033013220
532220000043
63215430320
7563122263
oct202170750
971215143
1034140648
11182a9413
12b5253a0
1370c4889
144769cda
152ee5b33
hex208f1e8

34140648 has 64 divisors (see below), whose sum is σ = 89948160. Its totient is φ = 10777536.

The previous prime is 34140643. The next prime is 34140679. The reversal of 34140648 is 84604143.

It is a Cunningham number, because it is equal to 58432-1.

It is a super-3 number, since 3×341406483 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (34140643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69861 + ... + 70347.

It is an arithmetic number, because the mean of its divisors is an integer number (1405440).

Almost surely, 234140648 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 34140648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44974080).

34140648 is an abundant number, since it is smaller than the sum of its proper divisors (55807512).

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

34140648 is a wasteful number, since it uses less digits than its factorization.

34140648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 34140648 is about 5842.9999144275. Note that the first 4 decimals coincide. The cubic root of 34140648 is about 324.4072762757.

The spelling of 34140648 in words is "thirty-four million, one hundred forty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 127 138 184 254 276 381 487 508 552 762 974 1016 1461 1524 1948 2921 2922 3048 3896 5842 5844 8763 11201 11684 11688 17526 22402 23368 33603 35052 44804 61849 67206 70104 89608 123698 134412 185547 247396 268824 371094 494792 742188 1422527 1484376 2845054 4267581 5690108 8535162 11380216 17070324 34140648