Search a number
-
+
3307626048 = 263431672399
BaseRepresentation
bin1100010100100110…
…0101111001000000
322112111212210221110
43011021211321000
523233223013143
61304113523320
7144652233426
oct30511457100
98474783843
103307626048
111448083451
12783873540
1340935249c
14235403116
151455ac533
hexc5265e40

3307626048 has 112 divisors (see below), whose sum is σ = 9012326400. Its totient is φ = 1070006784.

The previous prime is 3307626017. The next prime is 3307626053. The reversal of 3307626048 is 8406267033.

It is a junction number, because it is equal to n+sod(n) for n = 3307625997 and 3307626015.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1377553 + ... + 1379951.

It is an arithmetic number, because the mean of its divisors is an integer number (80467200).

Almost surely, 23307626048 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 3307626048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4506163200).

3307626048 is an abundant number, since it is smaller than the sum of its proper divisors (5704700352).

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

3307626048 is a wasteful number, since it uses less digits than its factorization.

3307626048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 3307626048 is about 57511.9643900293. The cubic root of 3307626048 is about 1489.9515093148.

The spelling of 3307626048 in words is "three billion, three hundred seven million, six hundred twenty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 167 172 192 258 334 344 501 516 668 688 1002 1032 1336 1376 2004 2064 2399 2672 2752 4008 4128 4798 5344 7181 7197 8016 8256 9596 10688 14362 14394 16032 19192 21543 28724 28788 32064 38384 43086 57448 57576 76768 86172 103157 114896 115152 153536 172344 206314 229792 230304 309471 344688 400633 412628 459584 460608 618942 689376 801266 825256 1201899 1237884 1378752 1602532 1650512 2403798 2475768 3205064 3301024 4807596 4951536 6410128 6602048 9615192 9903072 12820256 17227219 19230384 19806144 25640512 34454438 38460768 51681657 68908876 76921536 103363314 137817752 206726628 275635504 413453256 551271008 826906512 1102542016 1653813024 3307626048