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384084050 = 252721937223
BaseRepresentation
bin10110111001001…
…010100001010010
3222202201111021012
4112321022201102
51241311142200
6102040130522
712342442400
oct2671124122
9882644235
10384084050
11187895039
12a8766a42
136175b08c
1439020470
1523abca35
hex16e4a852

384084050 has 144 divisors (see below), whose sum is σ = 902442240. Its totient is φ = 120839040.

The previous prime is 384084049. The next prime is 384084083. The reversal of 384084050 is 50480483.

It is a junction number, because it is equal to n+sod(n) for n = 384083998 and 384084016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1722239 + ... + 1722461.

It is an arithmetic number, because the mean of its divisors is an integer number (6266960).

Almost surely, 2384084050 is an apocalyptic number.

384084050 is an abundant number, since it is smaller than the sum of its proper divisors (518358190).

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

384084050 is a wasteful number, since it uses less digits than its factorization.

384084050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 384084050 is about 19598.0624042276. The cubic root of 384084050 is about 726.9012641620.

The spelling of 384084050 in words is "three hundred eighty-four million, eighty-four thousand, fifty".

Divisors: 1 2 5 7 10 14 19 25 35 37 38 49 50 70 74 95 98 133 175 185 190 223 245 259 266 350 370 446 475 490 518 665 703 925 931 950 1115 1225 1295 1330 1406 1561 1813 1850 1862 2230 2450 2590 3122 3325 3515 3626 4237 4655 4921 5575 6475 6650 7030 7805 8251 8474 9065 9310 9842 10927 11150 12950 15610 16502 17575 18130 21185 21854 23275 24605 29659 34447 35150 39025 41255 42370 45325 46550 49210 54635 57757 59318 68894 78050 82510 90650 105925 109270 115514 123025 148295 156769 172235 206275 207613 211850 246050 273175 288785 296590 313538 344470 404299 412550 415226 546350 577570 741475 783845 808598 861175 1038065 1097383 1443925 1482950 1567690 1722350 2021495 2076130 2194766 2887850 3919225 4042990 5190325 5486915 7681681 7838450 10107475 10380650 10973830 15363362 20214950 27434575 38408405 54869150 76816810 192042025 384084050