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34000912 = 2411613167
BaseRepresentation
bin1000000110110…
…1000000010000
32100222102111001
42001231000100
532201012122
63212431344
7562001011
oct201550020
970872431
1034000912
1118213430
12b478554
1370760aa
144731008
152eb9527
hex206d010

34000912 has 40 divisors (see below), whose sum is σ = 73066752. Its totient is φ = 15196800.

The previous prime is 34000907. The next prime is 34000913. The reversal of 34000912 is 21900043.

It is a self number, because there is not a number n which added to its sum of digits gives 34000912.

It is not an unprimeable number, because it can be changed into a prime (34000913) 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, 9153 + ... + 12319.

Almost surely, 234000912 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 34000912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36533376).

34000912 is an abundant number, since it is smaller than the sum of its proper divisors (39065840).

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

34000912 is a wasteful number, since it uses less digits than its factorization.

34000912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 34000912 is about 5831.0300976757. The cubic root of 34000912 is about 323.9640766959.

Adding to 34000912 its reverse (21900043), we get a palindrome (55900955).

The spelling of 34000912 in words is "thirty-four million, nine hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 44 61 88 122 176 244 488 671 976 1342 2684 3167 5368 6334 10736 12668 25336 34837 50672 69674 139348 193187 278696 386374 557392 772748 1545496 2125057 3090992 4250114 8500228 17000456 34000912