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384089856 = 2833491433
BaseRepresentation
bin10110111001001…
…011111100000000
3222202201210020020
4112321023330000
51241311333411
6102040213440
712342465333
oct2671137400
9882653206
10384089856
11187899437
12a876a280
1361760907
143902261a
1523abe606
hex16e4bf00

384089856 has 72 divisors (see below), whose sum is σ = 1025883600. Its totient is φ = 127574016.

The previous prime is 384089843. The next prime is 384089861. The reversal of 384089856 is 658980483.

It is a junction number, because it is equal to n+sod(n) for n = 384089799 and 384089808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267316 + ... + 268748.

Almost surely, 2384089856 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 384089856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512941800).

384089856 is an abundant number, since it is smaller than the sum of its proper divisors (641793744).

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

384089856 is a wasteful number, since it uses less digits than its factorization.

384089856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 384089856 is about 19598.2105305561. The cubic root of 384089856 is about 726.9049268738.

The spelling of 384089856 in words is "three hundred eighty-four million, eighty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 349 384 698 768 1047 1396 1433 2094 2792 2866 4188 4299 5584 5732 8376 8598 11168 11464 16752 17196 22336 22928 33504 34392 44672 45856 67008 68784 89344 91712 134016 137568 183424 268032 275136 366848 500117 550272 1000234 1100544 1500351 2000468 3000702 4000936 6001404 8001872 12002808 16003744 24005616 32007488 48011232 64014976 96022464 128029952 192044928 384089856