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2384103920 = 2451129103907
BaseRepresentation
bin1000111000011010…
…1000100111110000
320011011010000202012
42032012220213300
514340312311140
61032323342052
7113036356202
oct21606504760
96134100665
102384103920
111013845620
12566521928
132bcc114a3
141888c2772
15de486265
hex8e1a89f0

2384103920 has 160 divisors (see below), whose sum is σ = 6323166720. Its totient is φ = 828011520.

The previous prime is 2384103913. The next prime is 2384103923. The reversal of 2384103920 is 293014832.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2384103923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2628107 + ... + 2629013.

It is an arithmetic number, because the mean of its divisors is an integer number (39519792).

Almost surely, 22384103920 is an apocalyptic number.

2384103920 is a gapful number since it is divisible by the number (20) 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 2384103920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161583360).

2384103920 is an abundant number, since it is smaller than the sum of its proper divisors (3939062800).

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

2384103920 is a wasteful number, since it uses less digits than its factorization.

2384103920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 2384103920 is about 48827.2866336027. The cubic root of 2384103920 is about 1335.9034167094.

The spelling of 2384103920 in words is "two billion, three hundred eighty-four million, one hundred three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 103 110 116 145 176 206 220 232 290 319 412 440 464 515 580 638 824 880 907 1030 1133 1160 1276 1595 1648 1814 2060 2266 2320 2552 2987 3190 3628 4120 4532 4535 5104 5665 5974 6380 7256 8240 9064 9070 9977 11330 11948 12760 14512 14935 18128 18140 19954 22660 23896 25520 26303 29870 32857 36280 39908 45320 47792 49885 52606 59740 65714 72560 79816 90640 93421 99770 105212 119480 131428 131515 159632 164285 186842 199540 210424 238960 262856 263030 289333 328570 373684 399080 420848 467105 525712 526060 578666 657140 747368 798160 934210 1027631 1052120 1157332 1314280 1446665 1494736 1868420 2055262 2104240 2314664 2628560 2709209 2893330 3736840 4110524 4629328 5138155 5418418 5786660 7473680 8221048 10276310 10836836 11573320 13546045 16442096 20552620 21673672 23146640 27092090 29801299 41105240 43347344 54184180 59602598 82210480 108368360 119205196 149006495 216736720 238410392 298012990 476820784 596025980 1192051960 2384103920