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2288384 = 2871277
BaseRepresentation
bin1000101110101100000000
311022021001222
420232230000
51041212014
6121014212
725310450
oct10565400
94267058
102288384
11132332a
12924368
13621797
14437d60
1530308e
hex22eb00

2288384 has 36 divisors (see below), whose sum is σ = 5224464. Its totient is φ = 979968.

The previous prime is 2288369. The next prime is 2288399. The reversal of 2288384 is 4838822.

It is an interprime number because it is at equal distance from previous prime (2288369) and next prime (2288399).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1154 + ... + 2430.

It is an arithmetic number, because the mean of its divisors is an integer number (145124).

22288384 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 2288384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612232).

2288384 is an abundant number, since it is smaller than the sum of its proper divisors (2936080).

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

2288384 is an equidigital number, since it uses as much as digits as its factorization.

2288384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1286 counting only the distinct ones).

The product of its digits is 24576, while the sum is 35.

The square root of 2288384 is about 1512.7405593822. The cubic root of 2288384 is about 131.7780168626.

The spelling of 2288384 in words is "two million, two hundred eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1277 1792 2554 5108 8939 10216 17878 20432 35756 40864 71512 81728 143024 163456 286048 326912 572096 1144192 2288384