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2134832 = 2473389
BaseRepresentation
bin1000001001001100110000
311000110102212
420021030300
51021303312
6113431252
724101000
oct10111460
94013385
102134832
111228a27
1286b528
1359991b
143d8000
152c2822
hex209330

2134832 has 40 divisors (see below), whose sum is σ = 4836000. Its totient is φ = 912576.

The previous prime is 2134831. The next prime is 2134841. The reversal of 2134832 is 2384312.

It is a junction number, because it is equal to n+sod(n) for n = 2134798 and 2134807.

It is not an unprimeable number, because it can be changed into a prime (2134831) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5294 + ... + 5682.

It is an arithmetic number, because the mean of its divisors is an integer number (120900).

22134832 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 2134832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418000).

2134832 is an abundant number, since it is smaller than the sum of its proper divisors (2701168).

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

2134832 is an equidigital number, since it uses as much as digits as its factorization.

2134832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 398 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 2134832 is about 1461.1064300728. The cubic root of 2134832 is about 128.7620556154.

The spelling of 2134832 in words is "two million, one hundred thirty-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 389 392 686 778 784 1372 1556 2723 2744 3112 5446 5488 6224 10892 19061 21784 38122 43568 76244 133427 152488 266854 304976 533708 1067416 2134832