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2146304 = 214131
BaseRepresentation
bin1000001100000000000000
311001001011202
420030000000
51022140204
6114000332
724146306
oct10140000
94031152
102146304
111236606
128760a8
135a1c04
143dc276
152c5e1e
hex20c000

2146304 has 30 divisors (see below), whose sum is σ = 4325244. Its totient is φ = 1064960.

The previous prime is 2146303. The next prime is 2146307. The reversal of 2146304 is 4036412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2146303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16319 + ... + 16449.

22146304 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 2146304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162622).

2146304 is an abundant number, since it is smaller than the sum of its proper divisors (2178940).

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

2146304 is an frugal number, since it uses more digits than its factorization.

2146304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2146304 is about 1465.0269622092. The cubic root of 2146304 is about 128.9922876626.

The spelling of 2146304 in words is "two million, one hundred forty-six thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 131 256 262 512 524 1024 1048 2048 2096 4096 4192 8192 8384 16384 16768 33536 67072 134144 268288 536576 1073152 2146304