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2134384 = 247171959
BaseRepresentation
bin1000001001000101110000
311000102211021
420021011300
51021300014
6113425224
724066460
oct10110560
94012737
102134384
11122865a
1286b214
13599665
143d7ba0
152c2624
hex209170

2134384 has 80 divisors (see below), whose sum is σ = 5356800. Its totient is φ = 801792.

The previous prime is 2134373. The next prime is 2134399. The reversal of 2134384 is 4834312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36147 + ... + 36205.

It is an arithmetic number, because the mean of its divisors is an integer number (66960).

22134384 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 2134384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678400).

2134384 is an abundant number, since it is smaller than the sum of its proper divisors (3222416).

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

2134384 is a wasteful number, since it uses less digits than its factorization.

2134384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 104 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 2134384 is about 1460.9531135529. The cubic root of 2134384 is about 128.7530479688.

Adding to 2134384 its reverse (4834312), we get a palindrome (6968696).

The spelling of 2134384 in words is "two million, one hundred thirty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 17 19 28 34 38 56 59 68 76 112 118 119 133 136 152 236 238 266 272 304 323 413 472 476 532 646 826 944 952 1003 1064 1121 1292 1652 1904 2006 2128 2242 2261 2584 3304 4012 4484 4522 5168 6608 7021 7847 8024 8968 9044 14042 15694 16048 17936 18088 19057 28084 31388 36176 38114 56168 62776 76228 112336 125552 133399 152456 266798 304912 533596 1067192 2134384