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3009834240 = 28357111973
BaseRepresentation
bin1011001101100110…
…0110110100000000
321202202112102101020
42303121212310000
522131004143430
61214355105440
7134405111640
oct26331466400
97682472336
103009834240
111304a78016
126bbba2280
1338c74880a
14207a46520
15129387b10
hexb3666d00

3009834240 has 144 divisors (see below), whose sum is σ = 10985993088. Its totient is φ = 687955968.

The previous prime is 3009834199. The next prime is 3009834253. The reversal of 3009834240 is 424389003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29107 + ... + 82866.

Almost surely, 23009834240 is an apocalyptic number.

3009834240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3009834240 is an abundant number, since it is smaller than the sum of its proper divisors (7976158848).

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

3009834240 is a wasteful number, since it uses less digits than its factorization.

3009834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112004 (or 111990 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 3009834240 is about 54861.9562174008. The cubic root of 3009834240 is about 1443.8237879118.

The spelling of 3009834240 in words is "three billion, nine million, eight hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 26880 111973 223946 335919 447892 559865 671838 783811 895784 1119730 1343676 1567622 1679595 1791568 2239460 2351433 2687352 3135244 3359190 3583136 3919055 4478920 4702866 5374704 6270488 6718380 7166272 7838110 8957840 9405732 10749408 11757165 12540976 13436760 14332544 15676220 17915680 18811464 21498816 23514330 25081952 26873520 28665088 31352440 35831360 37622928 42997632 47028660 50163904 53747040 62704880 71662720 75245856 85995264 94057320 100327808 107494080 125409760 143325440 150491712 188114640 200655616 214988160 250819520 300983424 376229280 429976320 501639040 601966848 752458560 1003278080 1504917120 3009834240