Search a number
-
+
3080864250 = 232531923793
BaseRepresentation
bin1011011110100010…
…0100000111111010
321221201012010020100
42313220210013322
522302200124000
61225413340230
7136226625342
oct26750440772
97851163210
103080864250
111341081a02
1271b937676
133a13880c9
14213255d22
15130718a00
hexb7a241fa

3080864250 has 144 divisors (see below), whose sum is σ = 8794507176. Its totient is φ = 778118400.

The previous prime is 3080864221. The next prime is 3080864273. The reversal of 3080864250 is 524680803.

3080864250 is a `hidden beast` number, since 3 + 0 + 8 + 0 + 8 + 642 + 5 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 466689609 + 2614174641 = 21603^2 + 51129^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 810354 + ... + 814146.

Almost surely, 23080864250 is an apocalyptic number.

3080864250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3080864250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4397253588).

3080864250 is an abundant number, since it is smaller than the sum of its proper divisors (5713642926).

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

3080864250 is a wasteful number, since it uses less digits than its factorization.

3080864250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3854 (or 3822 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3080864250 is about 55505.5335079305. The cubic root of 3080864250 is about 1455.0933443498.

The spelling of 3080864250 in words is "three billion, eighty million, eight hundred sixty-four thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 125 150 171 190 225 250 285 342 361 375 450 475 570 722 750 855 950 1083 1125 1425 1710 1805 2166 2250 2375 2850 3249 3610 3793 4275 4750 5415 6498 7125 7586 8550 9025 10830 11379 14250 16245 18050 18965 21375 22758 27075 32490 34137 37930 42750 45125 54150 56895 68274 72067 81225 90250 94825 113790 135375 144134 162450 170685 189650 216201 270750 284475 341370 360335 406125 432402 474125 568950 648603 720670 812250 853425 948250 1081005 1297206 1369273 1422375 1706850 1801675 2162010 2738546 2844750 3243015 3603350 4107819 4267125 5405025 6486030 6846365 8215638 8534250 9008375 10810050 12323457 13692730 16215075 18016750 20539095 24646914 27025125 32430150 34231825 41078190 54050250 61617285 68463650 81075375 102695475 123234570 162150750 171159125 205390950 308086425 342318250 513477375 616172850 1026954750 1540432125 3080864250