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2928384 = 28323141
BaseRepresentation
bin1011001010111100000000
312111202222200
423022330000
51222202014
6142433200
733614364
oct13127400
95452880
102928384
111720158
12b92800
137b6b94
145632a4
153cca09
hex2caf00

2928384 has 108 divisors (see below), whose sum is σ = 8928192. Its totient is φ = 921600.

The previous prime is 2928377. The next prime is 2928397. The reversal of 2928384 is 4838292.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71404 + ... + 71444.

22928384 is an apocalyptic number.

2928384 is a gapful number since it is divisible by the number (24) 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 2928384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464096).

2928384 is an abundant number, since it is smaller than the sum of its proper divisors (5999808).

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

2928384 is a wasteful number, since it uses less digits than its factorization.

2928384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 77 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2928384 is about 1711.2521731177. The cubic root of 2928384 is about 143.0680556953.

The spelling of 2928384 in words is "two million, nine hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 41 48 62 64 72 82 93 96 123 124 128 144 164 186 192 246 248 256 279 288 328 369 372 384 492 496 558 576 656 738 744 768 984 992 1116 1152 1271 1312 1476 1488 1968 1984 2232 2304 2542 2624 2952 2976 3813 3936 3968 4464 5084 5248 5904 5952 7626 7872 7936 8928 10168 10496 11439 11808 11904 15252 15744 17856 20336 22878 23616 23808 30504 31488 35712 40672 45756 47232 61008 71424 81344 91512 94464 122016 162688 183024 244032 325376 366048 488064 732096 976128 1464192 2928384