Search a number
-
+
302203434112 = 2723317323819
BaseRepresentation
bin1000110010111001011…
…10100111010010000000
31001220001002002002002221
410121130232213102000
514422403034342422
6350455204220424
730555611543446
oct4313456472200
91056032062087
10302203434112
11107188a61a28
124a69b39a714
1322661493388
14108aba34b96
157cdad583c7
hex465cba7480

302203434112 has 64 divisors (see below), whose sum is σ = 630205531200. Its totient is φ = 144075695104.

The previous prime is 302203434101. The next prime is 302203434161. The reversal of 302203434112 is 211434302203.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×3022034341123 (a number of 35 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 771339 + ... + 1095157.

It is an arithmetic number, because the mean of its divisors is an integer number (9846961425).

Almost surely, 2302203434112 is an apocalyptic number.

302203434112 is a gapful number since it is divisible by the number (32) 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 302203434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315102765600).

302203434112 is an abundant number, since it is smaller than the sum of its proper divisors (328002097088).

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

302203434112 is a wasteful number, since it uses less digits than its factorization.

302203434112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324173 (or 324161 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 302203434112 its reverse (211434302203), we get a palindrome (513637736315).

The spelling of 302203434112 in words is "three hundred two billion, two hundred three million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 317 368 634 736 1268 1472 2536 2944 5072 7291 10144 14582 20288 29164 40576 58328 116656 233312 323819 466624 647638 933248 1295276 2590552 5181104 7447837 10362208 14895674 20724416 29791348 41448832 59582696 102650623 119165392 205301246 238330784 410602492 476661568 821204984 953323136 1642409968 2360964329 3284819936 4721928658 6569639872 9443857316 13139279744 18887714632 37775429264 75550858528 151101717056 302203434112