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34239000 = 23353101113
BaseRepresentation
bin1000001010011…
…1001000011000
32101102112002010
42002213020120
532231122000
63221505520
7564012105
oct202471030
971375063
1034239000
11183662a4
12b5722a0
13712a583
144793aac
153014d50
hex20a7218

34239000 has 128 divisors (see below), whose sum is σ = 108838080. Its totient is φ = 8960000.

The previous prime is 34238993. The next prime is 34239011. The reversal of 34239000 is 93243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302944 + ... + 303056.

Almost surely, 234239000 is an apocalyptic number.

34239000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34239000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54419040).

34239000 is an abundant number, since it is smaller than the sum of its proper divisors (74599080).

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

34239000 is a wasteful number, since it uses less digits than its factorization.

34239000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 34239000 is about 5851.4100864663. The cubic root of 34239000 is about 324.7184939101.

The spelling of 34239000 in words is "thirty-four million, two hundred thirty-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 101 113 120 125 150 200 202 226 250 300 303 339 375 404 452 500 505 565 600 606 678 750 808 904 1000 1010 1130 1212 1356 1500 1515 1695 2020 2260 2424 2525 2712 2825 3000 3030 3390 4040 4520 5050 5650 6060 6780 7575 8475 10100 11300 11413 12120 12625 13560 14125 15150 16950 20200 22600 22826 25250 28250 30300 33900 34239 37875 42375 45652 50500 56500 57065 60600 67800 68478 75750 84750 91304 101000 113000 114130 136956 151500 169500 171195 228260 273912 285325 303000 339000 342390 456520 570650 684780 855975 1141300 1369560 1426625 1711950 2282600 2853250 3423900 4279875 5706500 6847800 8559750 11413000 17119500 34239000