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34287808 = 264173179
BaseRepresentation
bin1000001011001…
…1000011000000
32101112000000211
42002303003000
532234202213
63222523504
7564304312
oct202630300
971460024
1034287808
1118399a35
12b596594
137146859
1447a77b2
15302453d
hex20b30c0

34287808 has 56 divisors (see below), whose sum is σ = 71048880. Its totient is φ = 16404480.

The previous prime is 34287763. The next prime is 34287821. The reversal of 34287808 is 80878243.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191463 + ... + 191641.

It is an arithmetic number, because the mean of its divisors is an integer number (1268730).

Almost surely, 234287808 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 34287808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35524440).

34287808 is an abundant number, since it is smaller than the sum of its proper divisors (36761072).

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

34287808 is a wasteful number, since it uses less digits than its factorization.

34287808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 34287808 is about 5855.5792198552. The cubic root of 34287808 is about 324.8727170213.

It can be divided in two parts, 3428 and 7808, that added together give a square (11236 = 1062).

The spelling of 34287808 in words is "thirty-four million, two hundred eighty-seven thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 41 64 73 82 146 164 179 292 328 358 584 656 716 1168 1312 1432 2336 2624 2864 2993 4672 5728 5986 7339 11456 11972 13067 14678 23944 26134 29356 47888 52268 58712 95776 104536 117424 191552 209072 234848 418144 469696 535747 836288 1071494 2142988 4285976 8571952 17143904 34287808