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2134288 = 241331331
BaseRepresentation
bin1000001001000100010000
311000102200201
420021010100
51021244123
6113424544
724066262
oct10110420
94012621
102134288
111228582
1286b154
135995c0
143d7b32
152c25ad
hex209110

2134288 has 40 divisors (see below), whose sum is σ = 4610816. Its totient is φ = 950400.

The previous prime is 2134283. The next prime is 2134303. The reversal of 2134288 is 8824312.

It is a d-powerful number, because it can be written as 27 + 1 + 37 + 4 + 211 + 85 + 87 .

It is not an unprimeable number, because it can be changed into a prime (2134283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6283 + ... + 6613.

22134288 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 2134288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305408).

2134288 is an abundant number, since it is smaller than the sum of its proper divisors (2476528).

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

2134288 is a wasteful number, since it uses less digits than its factorization.

2134288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 377 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 2134288 is about 1460.9202579196. The cubic root of 2134288 is about 128.7511175948.

The spelling of 2134288 in words is "two million, one hundred thirty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 331 403 496 662 806 1324 1612 2648 3224 4303 5296 6448 8606 10261 17212 20522 34424 41044 68848 82088 133393 164176 266786 533572 1067144 2134288