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3085323808 = 257283151157
BaseRepresentation
bin1011011111100110…
…0100111000100000
321222000120200121011
42313321210320200
522304320330213
61230053110304
7136312551100
oct26771447040
97860520534
103085323808
111343648496
12721328394
133a2289bb8
14213a97200
15130cea03d
hexb7e64e20

3085323808 has 144 divisors (see below), whose sum is σ = 7244282304. Its totient is φ = 1289433600.

The previous prime is 3085323793. The next prime is 3085323827. The reversal of 3085323808 is 8083235803.

3085323808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19651666 + ... + 19651822.

It is an arithmetic number, because the mean of its divisors is an integer number (50307516).

Almost surely, 23085323808 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 3085323808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622141152).

3085323808 is an abundant number, since it is smaller than the sum of its proper divisors (4158958496).

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

3085323808 is a wasteful number, since it uses less digits than its factorization.

3085323808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 3085323808 is about 55545.6911740236. The cubic root of 3085323808 is about 1455.7950895064.

The spelling of 3085323808 in words is "three billion, eighty-five million, three hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 83 98 112 151 157 166 196 224 302 314 332 392 581 604 628 664 784 1057 1099 1162 1208 1256 1328 1568 2114 2198 2324 2416 2512 2656 4067 4228 4396 4648 4832 5024 7399 7693 8134 8456 8792 9296 12533 13031 14798 15386 16268 16912 17584 18592 23707 25066 26062 29596 30772 32536 33824 35168 47414 50132 52124 59192 61544 65072 87731 91217 94828 100264 104248 118384 123088 130144 165949 175462 182434 189656 200528 208496 236768 246176 331898 350924 364868 379312 401056 416992 614117 638519 663796 701848 729736 758624 1161643 1228234 1277038 1327592 1403696 1459472 1967681 2323286 2456468 2554076 2655184 2807392 2918944 3935362 4646572 4912936 5108152 5310368 7870724 9293144 9825872 10216304 13773767 15741448 18586288 19651744 20432608 27547534 31482896 37172576 55095068 62965792 96416369 110190136 192832738 220380272 385665476 440760544 771330952 1542661904 3085323808