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34119408 = 2431741813
BaseRepresentation
bin1000001000100…
…1111011110000
32101012110000210
42002021323300
532213310113
63215144120
7563003331
oct202117360
971173023
1034119408
1118294464
12b515040
1370b7ccb
144762288
152ede6c3
hex2089ef0

34119408 has 40 divisors (see below), whose sum is σ = 93328848. Its totient is φ = 10703872.

The previous prime is 34119403. The next prime is 34119409. The reversal of 34119408 is 80491143.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34119403) 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 7 ways as a sum of consecutive naturals, for example, 20091 + ... + 21722.

Almost surely, 234119408 is an apocalyptic number.

It is an amenable number.

34119408 is an abundant number, since it is smaller than the sum of its proper divisors (59209440).

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

34119408 is a wasteful number, since it uses less digits than its factorization.

34119408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41841 (or 41835 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 34119408 is about 5841.1820721494. The cubic root of 34119408 is about 324.3399875709.

The spelling of 34119408 in words is "thirty-four million, one hundred nineteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 41813 83626 125439 167252 250878 334504 501756 669008 710821 1003512 1421642 2007024 2132463 2843284 4264926 5686568 8529852 11373136 17059704 34119408