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2164304 = 241773109
BaseRepresentation
bin1000010000011001010000
311001221212102
420100121100
51023224204
6114215532
724252632
oct10203120
94057772
102164304
11124908a
128845a8
135aa16c
14404a52
152cb41e
hex210650

2164304 has 40 divisors (see below), whose sum is σ = 4542120. Its totient is φ = 995328.

The previous prime is 2164291. The next prime is 2164307. The reversal of 2164304 is 4034612.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 846400 + 1317904 = 920^2 + 1148^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19802 + ... + 19910.

It is an arithmetic number, because the mean of its divisors is an integer number (113553).

22164304 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 2164304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271060).

2164304 is an abundant number, since it is smaller than the sum of its proper divisors (2377816).

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

2164304 is a wasteful number, since it uses less digits than its factorization.

2164304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

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

The square root of 2164304 is about 1471.1573675172. The cubic root of 2164304 is about 129.3518826502.

Adding to 2164304 its reverse (4034612), we get a palindrome (6198916).

The spelling of 2164304 in words is "two million, one hundred sixty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 17 34 68 73 109 136 146 218 272 292 436 584 872 1168 1241 1744 1853 2482 3706 4964 7412 7957 9928 14824 15914 19856 29648 31828 63656 127312 135269 270538 541076 1082152 2164304