Search a number
-
+
3031870848 = 27317795879
BaseRepresentation
bin1011010010110110…
…1010110110000000
321211021222222220220
42310231222312000
522202124331343
61220503303040
7135063322416
oct26455526600
97737888826
103031870848
111316459496
1270744aa80
13394192c26
1420a9412b6
1512b28c183
hexb4b6ad80

3031870848 has 128 divisors (see below), whose sum is σ = 8636544000. Its totient is φ = 938975232.

The previous prime is 3031870843. The next prime is 3031870867. The reversal of 3031870848 is 8480781303.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3031870843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512773 + ... + 518651.

It is an arithmetic number, because the mean of its divisors is an integer number (67473000).

Almost surely, 23031870848 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 3031870848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4318272000).

3031870848 is an abundant number, since it is smaller than the sum of its proper divisors (5604673152).

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

3031870848 is a wasteful number, since it uses less digits than its factorization.

3031870848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5992 (or 5980 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 3031870848 is about 55062.4268262851. The cubic root of 3031870848 is about 1447.3388921668.

The spelling of 3031870848 in words is "three billion, thirty-one million, eight hundred seventy thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 79 96 102 128 136 158 192 204 237 272 316 384 408 474 544 632 816 948 1088 1264 1343 1632 1896 2176 2528 2686 3264 3792 4029 5056 5372 5879 6528 7584 8058 10112 10744 11758 15168 16116 17637 21488 23516 30336 32232 35274 42976 47032 64464 70548 85952 94064 99943 128928 141096 171904 188128 199886 257856 282192 299829 376256 399772 464441 515712 564384 599658 752512 799544 928882 1128768 1199316 1393323 1599088 1857764 2257536 2398632 2786646 3198176 3715528 4797264 5573292 6396352 7431056 7895497 9594528 11146584 12792704 14862112 15790994 19189056 22293168 23686491 29724224 31581988 38378112 44586336 47372982 59448448 63163976 89172672 94745964 126327952 178345344 189491928 252655904 378983856 505311808 757967712 1010623616 1515935424 3031870848