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2028384 = 25327043
BaseRepresentation
bin111101111001101100000
310211001102100
413233031200
51004402014
6111250400
723145441
oct7571540
93731370
102028384
111165a56
12819a00
13560337
143ab2c8
152a1009
hex1ef360

2028384 has 36 divisors (see below), whose sum is σ = 5769036. Its totient is φ = 676032.

The previous prime is 2028373. The next prime is 2028391. The reversal of 2028384 is 4838202.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×20283842 = 8228683302912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3234 + ... + 3809.

It is an arithmetic number, because the mean of its divisors is an integer number (160251).

22028384 is an apocalyptic number.

2028384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2028384 is an abundant number, since it is smaller than the sum of its proper divisors (3740652).

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

2028384 is a wasteful number, since it uses less digits than its factorization.

2028384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7059 (or 7048 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2028384 is about 1424.2134671460. The cubic root of 2028384 is about 126.5853340602.

The spelling of 2028384 in words is "two million, twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7043 14086 21129 28172 42258 56344 63387 84516 112688 126774 169032 225376 253548 338064 507096 676128 1014192 2028384