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1384494336 = 2833296907
BaseRepresentation
bin101001010000101…
…1011010100000000
310120111011121012000
41102201123110000
510313412304321
6345214304000
746211002431
oct12241332400
93514147160
101384494336
116505690a5
123277b8000
13190aacc24
14d1c37488
1581830826
hex5285b500

1384494336 has 144 divisors (see below), whose sum is σ = 4235985600. Its totient is φ = 445519872.

The previous prime is 1384494301. The next prime is 1384494359. The reversal of 1384494336 is 6334944831.

1384494336 is a `hidden beast` number, since 138 + 449 + 43 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1384494291 and 1384494300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196995 + ... + 203901.

Almost surely, 21384494336 is an apocalyptic number.

1384494336 is a gapful number since it is divisible by the number (16) 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 1384494336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117992800).

1384494336 is an abundant number, since it is smaller than the sum of its proper divisors (2851491264).

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

1384494336 is an equidigital number, since it uses as much as digits as its factorization.

1384494336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6961 (or 6941 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 1384494336 is about 37208.7937993158. The cubic root of 1384494336 is about 1114.5435967795.

The spelling of 1384494336 in words is "one billion, three hundred eighty-four million, four hundred ninety-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 256 261 288 348 384 432 464 522 576 696 768 783 864 928 1044 1152 1392 1566 1728 1856 2088 2304 2784 3132 3456 3712 4176 5568 6264 6907 6912 7424 8352 11136 12528 13814 16704 20721 22272 25056 27628 33408 41442 50112 55256 62163 66816 82884 100224 110512 124326 165768 186489 200303 200448 221024 248652 331536 372978 400606 442048 497304 600909 663072 745956 801212 884096 994608 1201818 1326144 1491912 1602424 1768192 1802727 1989216 2403636 2652288 2983824 3204848 3605454 3978432 4807272 5304576 5408181 5967648 6409696 7210908 7956864 9614544 10816362 11935296 12819392 14421816 15913728 19229088 21632724 23870592 25638784 28843632 38458176 43265448 47741184 51277568 57687264 76916352 86530896 115374528 153832704 173061792 230749056 346123584 461498112 692247168 1384494336