Search a number
-
+
8066304 = 2834389
BaseRepresentation
bin11110110001010100000000
3120011210220000
4132301110000
54031110204
6444520000
7125363631
oct36612400
916153800
108066304
11460a374
122850000
13189567c
1410dd888
15a95039
hex7b1500

8066304 has 90 divisors (see below), whose sum is σ = 24114090. Its totient is φ = 2681856.

The previous prime is 8066291. The next prime is 8066329. The reversal of 8066304 is 4036608.

It can be written as a sum of positive squares in only one way, i.e., 5992704 + 2073600 = 2448^2 + 1440^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20542 + ... + 20930.

Almost surely, 28066304 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 8066304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12057045).

8066304 is an abundant number, since it is smaller than the sum of its proper divisors (16047786).

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

8066304 is an equidigital number, since it uses as much as digits as its factorization.

8066304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 8066304 is about 2840.1239409575. The cubic root of 8066304 is about 200.5510138578.

The spelling of 8066304 in words is "eight million, sixty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 389 432 576 648 768 778 864 1152 1167 1296 1556 1728 2304 2334 2592 3112 3456 3501 4668 5184 6224 6912 7002 9336 10368 10503 12448 14004 18672 20736 21006 24896 28008 31509 37344 42012 49792 56016 63018 74688 84024 99584 112032 126036 149376 168048 224064 252072 298752 336096 448128 504144 672192 896256 1008288 1344384 2016576 2688768 4033152 8066304