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203342342304 = 2535362716373
BaseRepresentation
bin1011110101100000100…
…1011110100010100000
3201102212021111021012010
42331120021132202200
511312421114423204
6233225244032520
720456004251133
oct2753011364240
9642767437163
10203342342304
11792674a6472
12334aab32740
131623790820a
149badd6021a
155451adcd89
hex2f5825e8a0

203342342304 has 96 divisors (see below), whose sum is σ = 544016922624. Its totient is φ = 66480860160.

The previous prime is 203342342261. The next prime is 203342342321. The reversal of 203342342304 is 403243243302.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31903662 + ... + 31910034.

It is an arithmetic number, because the mean of its divisors is an integer number (5666842944).

Almost surely, 2203342342304 is an apocalyptic number.

203342342304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203342342304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272008461312).

203342342304 is an abundant number, since it is smaller than the sum of its proper divisors (340674580320).

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

203342342304 is a wasteful number, since it uses less digits than its factorization.

203342342304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12710 (or 12702 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 203342342304 its reverse (403243243302), we get a palindrome (606585585606).

The spelling of 203342342304 in words is "two hundred three billion, three hundred forty-two million, three hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 6271 6373 12542 12746 18813 19119 25084 25492 37626 38238 50168 50984 75252 76476 100336 101968 150504 152952 200672 203936 301008 305904 332363 337769 602016 611808 664726 675538 997089 1013307 1329452 1351076 1994178 2026614 2658904 2702152 3988356 4053228 5317808 5404304 7976712 8106456 10635616 10808608 15953424 16212912 31906848 32425824 39965083 79930166 119895249 159860332 239790498 319720664 479580996 639441328 959161992 1278882656 1918323984 2118149399 3836647968 4236298798 6354448197 8472597596 12708896394 16945195192 25417792788 33890390384 50835585576 67780780768 101671171152 203342342304