Search a number
-
+
3007285320 = 2335138112377
BaseRepresentation
bin1011001100111111…
…1000100001001000
321202120201220220210
42303033320201020
522124331112240
61214224321120
7134344334454
oct26317704110
97676656823
103007285320
111303596a76
126bb1731a0
1338c065590
14207581664
15129032780
hexb33f8848

3007285320 has 128 divisors (see below), whose sum is σ = 9731917440. Its totient is φ = 739031040.

The previous prime is 3007285319. The next prime is 3007285339. The reversal of 3007285320 is 235827003.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1263972 + ... + 1266348.

It is an arithmetic number, because the mean of its divisors is an integer number (76030605).

Almost surely, 23007285320 is an apocalyptic number.

3007285320 is a gapful number since it is divisible by the number (30) 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 3007285320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4865958720).

3007285320 is an abundant number, since it is smaller than the sum of its proper divisors (6724632120).

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

3007285320 is a wasteful number, since it uses less digits than its factorization.

3007285320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3215 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3007285320 is about 54838.7209916497. The cubic root of 3007285320 is about 1443.4160987171.

The spelling of 3007285320 in words is "three billion, seven million, two hundred eighty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 811 1560 1622 2377 2433 3244 4055 4754 4866 6488 7131 8110 9508 9732 10543 11885 12165 14262 16220 19016 19464 21086 23770 24330 28524 30901 31629 32440 35655 42172 47540 48660 52715 57048 61802 63258 71310 84344 92703 95080 97320 105430 123604 126516 142620 154505 158145 185406 210860 247208 253032 285240 309010 316290 370812 421720 463515 618020 632580 741624 927030 1236040 1265160 1854060 1927747 3708120 3855494 5783241 7710988 9638735 11566482 15421976 19277470 23132964 25060711 28916205 38554940 46265928 50121422 57832410 75182133 77109880 100242844 115664820 125303555 150364266 200485688 231329640 250607110 300728532 375910665 501214220 601457064 751821330 1002428440 1503642660 3007285320