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34200660 = 223513163269
BaseRepresentation
bin1000001001110…
…1110001010100
32101100120111010
42002131301110
532223410120
63221012220
7563462244
oct202356124
971316433
1034200660
111833a50a
12b554070
137115ca0
144783b24
1530087e0
hex209dc54

34200660 has 96 divisors (see below), whose sum is σ = 104146560. Its totient is φ = 8335872.

The previous prime is 34200643. The next prime is 34200671. The reversal of 34200660 is 6600243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127006 + ... + 127274.

It is an arithmetic number, because the mean of its divisors is an integer number (1084860).

Almost surely, 234200660 is an apocalyptic number.

34200660 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 34200660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52073280).

34200660 is an abundant number, since it is smaller than the sum of its proper divisors (69945900).

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

34200660 is a wasteful number, since it uses less digits than its factorization.

34200660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 34200660 is about 5848.1330354225. The cubic root of 34200660 is about 324.5972446825.

The spelling of 34200660 in words is "thirty-four million, two hundred thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 163 195 260 269 326 390 489 538 652 780 807 815 978 1076 1345 1614 1630 1956 2119 2445 2690 3228 3260 3497 4035 4238 4890 5380 6357 6994 8070 8476 9780 10491 10595 12714 13988 16140 17485 20982 21190 25428 31785 34970 41964 42380 43847 52455 63570 69940 87694 104910 127140 131541 175388 209820 219235 263082 438470 526164 570011 657705 876940 1140022 1315410 1710033 2280044 2630820 2850055 3420066 5700110 6840132 8550165 11400220 17100330 34200660