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387842040 = 23335421853
BaseRepresentation
bin10111000111011…
…111111111111000
31000000210102021000
4113013133333320
51243241421130
6102252445000
712416413545
oct2707377770
91000712230
10387842040
11189a21513
12a9a79760
1362475741
143971bbcc
15240b1260
hex171dfff8

387842040 has 128 divisors (see below), whose sum is σ = 1297396800. Its totient is φ = 103057920.

The previous prime is 387841999. The next prime is 387842051. The reversal of 387842040 is 40248783.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 387841986 and 387842004.

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, 454254 + ... + 455106.

Almost surely, 2387842040 is an apocalyptic number.

387842040 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 387842040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648698400).

387842040 is an abundant number, since it is smaller than the sum of its proper divisors (909554760).

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

387842040 is a wasteful number, since it uses less digits than its factorization.

387842040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 387842040 is about 19693.7055934123. The cubic root of 387842040 is about 729.2643116836.

The spelling of 387842040 in words is "three hundred eighty-seven million, eight hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 421 540 842 853 1080 1263 1684 1706 2105 2526 2559 3368 3412 3789 4210 4265 5052 5118 6315 6824 7578 7677 8420 8530 10104 10236 11367 12630 12795 15156 15354 16840 17060 18945 20472 22734 23031 25260 25590 30312 30708 34120 37890 38385 45468 46062 50520 51180 56835 61416 75780 76770 90936 92124 102360 113670 115155 151560 153540 184248 227340 230310 307080 359113 454680 460620 718226 921240 1077339 1436452 1795565 2154678 2872904 3232017 3591130 4309356 5386695 6464034 7182260 8618712 9696051 10773390 12928068 14364520 16160085 19392102 21546780 25856136 32320170 38784204 43093560 48480255 64640340 77568408 96960510 129280680 193921020 387842040