Search a number
-
+
3078768 = 243731117
BaseRepresentation
bin1011101111101001110000
312210102021110
423233221300
51242010033
6145553320
735112000
oct13575160
95712243
103078768
111813140
121045840
1383a474
145a2000
1540c363
hex2efa70

3078768 has 160 divisors (see below), whose sum is σ = 10713600. Its totient is φ = 752640.

The previous prime is 3078767. The next prime is 3078769. The reversal of 3078768 is 8678703.

It is an interprime number because it is at equal distance from previous prime (3078767) and next prime (3078769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3078767) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 181096 + ... + 181112.

It is an arithmetic number, because the mean of its divisors is an integer number (66960).

Almost surely, 23078768 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 3078768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356800).

3078768 is an abundant number, since it is smaller than the sum of its proper divisors (7634832).

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

3078768 is a wasteful number, since it uses less digits than its factorization.

3078768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 3078768 is about 1754.6418437960. The cubic root of 3078768 is about 145.4763249584.

The spelling of 3078768 in words is "three million, seventy-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 17 21 22 24 28 33 34 42 44 48 49 51 56 66 68 77 84 88 98 102 112 119 132 136 147 154 168 176 187 196 204 231 238 264 272 294 308 336 343 357 374 392 408 462 476 528 539 561 588 616 686 714 748 784 816 833 924 952 1029 1078 1122 1176 1232 1309 1372 1428 1496 1617 1666 1848 1904 2058 2156 2244 2352 2499 2618 2744 2856 2992 3234 3332 3696 3773 3927 4116 4312 4488 4998 5236 5488 5712 5831 6468 6664 7546 7854 8232 8624 8976 9163 9996 10472 11319 11662 12936 13328 15092 15708 16464 17493 18326 19992 20944 22638 23324 25872 27489 30184 31416 34986 36652 39984 45276 46648 54978 60368 62832 64141 69972 73304 90552 93296 109956 128282 139944 146608 181104 192423 219912 256564 279888 384846 439824 513128 769692 1026256 1539384 3078768