Search a number
-
+
3086336 = 21111137
BaseRepresentation
bin1011110001100000000000
312210210122202
423301200000
51242230321
6150052332
735143031
oct13614000
95723582
103086336
1118188a0
12104a0a8
13840a46
145a4a88
1540e70b
hex2f1800

3086336 has 48 divisors (see below), whose sum is σ = 6781320. Its totient is φ = 1392640.

The previous prime is 3086311. The next prime is 3086353. The reversal of 3086336 is 6336803.

It is a junction number, because it is equal to n+sod(n) for n = 3086299 and 3086308.

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 3 ways as a sum of consecutive naturals, for example, 22460 + ... + 22596.

Almost surely, 23086336 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 3086336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3390660).

3086336 is an abundant number, since it is smaller than the sum of its proper divisors (3694984).

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

3086336 is a wasteful number, since it uses less digits than its factorization.

3086336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 3086336 is about 1756.7970856078. The cubic root of 3086336 is about 145.5954271397.

The spelling of 3086336 in words is "three million, eighty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 137 176 256 274 352 512 548 704 1024 1096 1408 1507 2048 2192 2816 3014 4384 5632 6028 8768 11264 12056 17536 22528 24112 35072 48224 70144 96448 140288 192896 280576 385792 771584 1543168 3086336