Search a number
-
+
850320384 = 2103377481
BaseRepresentation
bin110010101011101…
…101110000000000
32012021000202021120
4302223231300000
53220140223014
6220213152240
730033414114
oct6253556000
92167022246
10850320384
113a6a90321
121b892b680
13107221074
1480d07744
154e9b6ba9
hex32aedc00

850320384 has 88 divisors (see below), whose sum is σ = 2327979408. Its totient is φ = 275742720.

The previous prime is 850320323. The next prime is 850320389. The reversal of 850320384 is 483023058.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850320389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109924 + ... + 117404.

Almost surely, 2850320384 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 850320384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163989704).

850320384 is an abundant number, since it is smaller than the sum of its proper divisors (1477659024).

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

850320384 is a wasteful number, since it uses less digits than its factorization.

850320384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7541 (or 7523 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 850320384 is about 29160.2534968405. The cubic root of 850320384 is about 947.3872377601.

The spelling of 850320384 in words is "eight hundred fifty million, three hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 1024 1184 1536 1776 2368 3072 3552 4736 7104 7481 9472 14208 14962 18944 22443 28416 29924 37888 44886 56832 59848 89772 113664 119696 179544 239392 276797 359088 478784 553594 718176 830391 957568 1107188 1436352 1660782 1915136 2214376 2872704 3321564 3830272 4428752 5745408 6643128 7660544 8857504 11490816 13286256 17715008 22981632 26572512 35430016 53145024 70860032 106290048 141720064 212580096 283440128 425160192 850320384