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34108968 = 2333771541
BaseRepresentation
bin1000001000011…
…1011000101000
32101011220201010
42002013120220
532212441333
63215023520
7562631025
oct202073050
971156633
1034108968
1118287633
12b50aba0
1370b332a
14475c54c
152edb563
hex2087628

34108968 has 64 divisors (see below), whose sum is σ = 88974720. Its totient is φ = 10886400.

The previous prime is 34108957. The next prime is 34109003. The reversal of 34108968 is 86980143.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62778 + ... + 63318.

It is an arithmetic number, because the mean of its divisors is an integer number (1390230).

Almost surely, 234108968 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 34108968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44487360).

34108968 is an abundant number, since it is smaller than the sum of its proper divisors (54865752).

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

34108968 is a wasteful number, since it uses less digits than its factorization.

34108968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 34108968 is about 5840.2883490458. The cubic root of 34108968 is about 324.3069032249.

The spelling of 34108968 in words is "thirty-four million, one hundred eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 71 74 111 142 148 213 222 284 296 426 444 541 568 852 888 1082 1623 1704 2164 2627 3246 4328 5254 6492 7881 10508 12984 15762 20017 21016 31524 38411 40034 60051 63048 76822 80068 115233 120102 153644 160136 230466 240204 307288 460932 480408 921864 1421207 2842414 4263621 5684828 8527242 11369656 17054484 34108968