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30306340800 = 2632522104607
BaseRepresentation
bin11100001110011001…
…100000111111000000
32220020002201121221200
4130032121200333000
5444031410401200
621531134021200
72122006434501
oct341631407700
986202647850
1030306340800
111194215944a
125a59647800
132b1c9a3048
141676dccba8
15bc598b800
hex70e660fc0

30306340800 has 126 divisors (see below), whose sum is σ = 107715942048. Its totient is φ = 8081687040.

The previous prime is 30306340781. The next prime is 30306340829. The reversal of 30306340800 is 804360303.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1037904 + ... + 1066703.

Almost surely, 230306340800 is an apocalyptic number.

30306340800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30306340800 is an abundant number, since it is smaller than the sum of its proper divisors (77409601248).

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

30306340800 is a wasteful number, since it uses less digits than its factorization.

30306340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104635 (or 2104617 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 30306340800 in words is "thirty billion, three hundred six million, three hundred forty thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 144 150 160 180 192 200 225 240 288 300 320 360 400 450 480 576 600 720 800 900 960 1200 1440 1600 1800 2400 2880 3600 4800 7200 14400 2104607 4209214 6313821 8418428 10523035 12627642 16836856 18941463 21046070 25255284 31569105 33673712 37882926 42092140 50510568 52615175 63138210 67347424 75765852 84184280 94707315 101021136 105230350 126276420 134694848 151531704 157845525 168368560 189414630 202042272 210460700 252552840 303063408 315691050 336737120 378829260 404084544 420921400 473536575 505105680 606126816 631382100 673474240 757658520 841842800 947073150 1010211360 1212253632 1262764200 1515317040 1683685600 1894146300 2020422720 2525528400 3030634080 3367371200 3788292600 5051056800 6061268160 7576585200 10102113600 15153170400 30306340800