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2064384 = 215327
BaseRepresentation
bin111111000000000000000
310212212210200
413320000000
51012030014
6112125200
723355420
oct7700000
93785720
102064384
111190003
12836800
1357383a
143ba480
152aba09
hex1f8000

2064384 has 96 divisors (see below), whose sum is σ = 6815640. Its totient is φ = 589824.

The previous prime is 2064379. The next prime is 2064389. The reversal of 2064384 is 4834602.

It is an interprime number because it is at equal distance from previous prime (2064379) and next prime (2064389).

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 2 and base 8.

It is a zygodrome in base 2 and base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2064389) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294909 + ... + 294915.

22064384 is an apocalyptic number.

2064384 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 2064384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407820).

2064384 is an abundant number, since it is smaller than the sum of its proper divisors (4751256).

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

2064384 is an frugal number, since it uses more digits than its factorization.

2064384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2064384 is about 1436.7964365212. The cubic root of 2064384 is about 127.3298306527.

Adding to 2064384 its reverse (4834602), we get a palindrome (6898986).

The spelling of 2064384 in words is "two million, sixty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4096 4608 5376 6144 7168 8064 8192 9216 10752 12288 14336 16128 16384 18432 21504 24576 28672 32256 32768 36864 43008 49152 57344 64512 73728 86016 98304 114688 129024 147456 172032 229376 258048 294912 344064 516096 688128 1032192 2064384