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34288668 = 22325317971
BaseRepresentation
bin1000001011001…
…1010000011100
32101112001012200
42002303100130
532234214133
63222531500
7564306651
oct202632034
971461180
1034288668
111839a647
12b596b90
13714706b
1447a7c28
153024913
hex20b341c

34288668 has 36 divisors (see below), whose sum is σ = 88314408. Its totient is φ = 11213280.

The previous prime is 34288651. The next prime is 34288679. The reversal of 34288668 is 86688243.

34288668 = T452 + T453 + ... + T667.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7078 + ... + 10893.

It is an arithmetic number, because the mean of its divisors is an integer number (2453178).

Almost surely, 234288668 is an apocalyptic number.

It is an amenable number.

34288668 is an abundant number, since it is smaller than the sum of its proper divisors (54025740).

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

34288668 is a wasteful number, since it uses less digits than its factorization.

34288668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18034 (or 18029 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 34288668 is about 5855.6526536331. The cubic root of 34288668 is about 324.8754331296.

The spelling of 34288668 in words is "thirty-four million, two hundred eighty-eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 17971 35942 53913 71884 107826 161739 215652 323478 646956 952463 1904926 2857389 3809852 5714778 8572167 11429556 17144334 34288668