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34219008 = 210324779
BaseRepresentation
bin1000001010001…
…0010000000000
32101101111122200
42002202100000
532230002013
63221233200
7563566605
oct202422000
971344580
1034219008
111835227a
12b562800
137121445
14478a6ac
15300de73
hex20a2400

34219008 has 132 divisors (see below), whose sum is σ = 102186240. Its totient is φ = 11022336.

The previous prime is 34219001. The next prime is 34219027. The reversal of 34219008 is 80091243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34219001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 433113 + ... + 433191.

Almost surely, 234219008 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 34219008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51093120).

34219008 is an abundant number, since it is smaller than the sum of its proper divisors (67967232).

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

34219008 is a wasteful number, since it uses less digits than its factorization.

34219008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 34219008 is about 5849.7015308475. The cubic root of 34219008 is about 324.6552810433.

The spelling of 34219008 in words is "thirty-four million, two hundred nineteen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 79 94 96 128 141 144 158 188 192 237 256 282 288 316 376 384 423 474 512 564 576 632 711 752 768 846 948 1024 1128 1152 1264 1422 1504 1536 1692 1896 2256 2304 2528 2844 3008 3072 3384 3713 3792 4512 4608 5056 5688 6016 6768 7426 7584 9024 9216 10112 11139 11376 12032 13536 14852 15168 18048 20224 22278 22752 24064 27072 29704 30336 33417 36096 40448 44556 45504 48128 54144 59408 60672 66834 72192 80896 89112 91008 108288 118816 121344 133668 144384 178224 182016 216576 237632 242688 267336 356448 364032 433152 475264 534672 712896 728064 950528 1069344 1425792 1901056 2138688 2851584 3802112 4277376 5703168 8554752 11406336 17109504 34219008