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382914048 = 29311131173
BaseRepresentation
bin10110110100101…
…100111000000000
3222200112001022210
4112310230320000
51241011222143
6101555102120
712326500326
oct2664547000
9880461283
10382914048
11187165aa0
12a82a1940
136143b67a
1438bd7d16
152393b033
hex16d2ce00

382914048 has 160 divisors (see below), whose sum is σ = 1127820672. Its totient is φ = 114483200.

The previous prime is 382914023. The next prime is 382914079. The reversal of 382914048 is 840419283.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 382913997 and 382914015.

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, 2213290 + ... + 2213462.

Almost surely, 2382914048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382914048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563910336).

382914048 is an abundant number, since it is smaller than the sum of its proper divisors (744906624).

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

382914048 is a wasteful number, since it uses less digits than its factorization.

382914048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 382914048 is about 19568.1896965458. The cubic root of 382914048 is about 726.1624146191.

The spelling of 382914048 in words is "three hundred eighty-two million, nine hundred fourteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 131 132 173 176 192 256 262 264 346 352 384 393 512 519 524 528 692 704 768 786 1038 1048 1056 1384 1408 1441 1536 1572 1903 2076 2096 2112 2768 2816 2882 3144 3806 4152 4192 4224 4323 5536 5632 5709 5764 6288 7612 8304 8384 8448 8646 11072 11418 11528 12576 15224 16608 16768 16896 17292 22144 22663 22836 23056 25152 30448 33216 33536 34584 44288 45326 45672 46112 50304 60896 66432 67072 67989 69168 88576 90652 91344 92224 100608 121792 132864 135978 138336 181304 182688 184448 201216 243584 249293 265728 271956 276672 362608 365376 368896 487168 498586 543912 553344 725216 730752 737792 747879 974336 997172 1087824 1106688 1450432 1461504 1495758 1994344 2175648 2213376 2900864 2923008 2991516 3988688 4351296 5801728 5983032 7977376 8702592 11603456 11966064 15954752 17405184 23932128 31909504 34810368 47864256 63819008 95728512 127638016 191457024 382914048