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34009836 = 22371133583
BaseRepresentation
bin1000000110111…
…1001011101100
32100222212201120
42001233023230
532201303321
63212540540
7562036020
oct201571354
970885646
1034009836
111821a103
12b481750
13707a183
144734380
152ebbec6
hex206f2ec

34009836 has 48 divisors (see below), whose sum is σ = 91521024. Its totient is φ = 9628416.

The previous prime is 34009819. The next prime is 34009841. The reversal of 34009836 is 63890043.

34009836 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 34009797 and 34009806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7701 + ... + 11283.

It is an arithmetic number, because the mean of its divisors is an integer number (1906688).

Almost surely, 234009836 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 34009836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45760512).

34009836 is an abundant number, since it is smaller than the sum of its proper divisors (57511188).

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

34009836 is a wasteful number, since it uses less digits than its factorization.

34009836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 34009836 is about 5831.7952638960. The cubic root of 34009836 is about 323.9924171370.

Adding to 34009836 its reverse (63890043), we get a palindrome (97899879).

The spelling of 34009836 in words is "thirty-four million, nine thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 113 226 339 452 678 791 1356 1582 2373 3164 3583 4746 7166 9492 10749 14332 21498 25081 42996 50162 75243 100324 150486 300972 404879 809758 1214637 1619516 2429274 2834153 4858548 5668306 8502459 11336612 17004918 34009836