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11834368 = 210713127
BaseRepresentation
bin101101001001…
…010000000000
3211021020200221
4231021100000
511012144433
61101352424
7202406350
oct55112000
924236627
1011834368
116753377
123b68714
1325b47b0
141800b60
15108b72d
hexb49400

11834368 has 88 divisors (see below), whose sum is σ = 29345792. Its totient is φ = 4644864.

The previous prime is 11834353. The next prime is 11834393. The reversal of 11834368 is 86343811.

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 7 ways as a sum of consecutive naturals, for example, 93121 + ... + 93247.

Almost surely, 211834368 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 11834368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14672896).

11834368 is an abundant number, since it is smaller than the sum of its proper divisors (17511424).

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

11834368 is a wasteful number, since it uses less digits than its factorization.

11834368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 11834368 is about 3440.1116260959. Note that the first 3 decimals coincide. The cubic root of 11834368 is about 227.8846240920.

The spelling of 11834368 in words is "eleven million, eight hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 127 128 182 208 224 254 256 364 416 448 508 512 728 832 889 896 1016 1024 1456 1651 1664 1778 1792 2032 2912 3302 3328 3556 3584 4064 5824 6604 6656 7112 7168 8128 11557 11648 13208 13312 14224 16256 23114 23296 26416 28448 32512 46228 46592 52832 56896 65024 92456 93184 105664 113792 130048 184912 211328 227584 369824 422656 455168 739648 845312 910336 1479296 1690624 2958592 5917184 11834368