Search a number
-
+
307772080 = 245711172939
BaseRepresentation
bin10010010110000…
…011101010110000
3210110010102220221
4102112003222300
51112242201310
650312342424
710425006460
oct2226035260
9713112827
10307772080
111488027a0
12870a4a14
134b9bc575
142cc37ba0
151c046ada
hex12583ab0

307772080 has 160 divisors (see below), whose sum is σ = 944939520. Its totient is φ = 90255360.

The previous prime is 307772033. The next prime is 307772081. The reversal of 307772080 is 80277703.

307772080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (307772081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103251 + ... + 106189.

It is an arithmetic number, because the mean of its divisors is an integer number (5905872).

Almost surely, 2307772080 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 307772080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472469760).

307772080 is an abundant number, since it is smaller than the sum of its proper divisors (637167440).

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

307772080 is a wasteful number, since it uses less digits than its factorization.

307772080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 34.

The square root of 307772080 is about 17543.4340994003. The cubic root of 307772080 is about 675.1647188314.

It can be divided in two parts, 3077 and 72080, that added together give a palindrome (75157).

The spelling of 307772080 in words is "three hundred seven million, seven hundred seventy-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 17 20 22 28 34 35 40 44 55 56 68 70 77 80 85 88 110 112 119 136 140 154 170 176 187 220 238 272 280 308 340 374 385 440 476 560 595 616 680 748 770 880 935 952 1190 1232 1309 1360 1496 1540 1870 1904 2380 2618 2939 2992 3080 3740 4760 5236 5878 6160 6545 7480 9520 10472 11756 13090 14695 14960 20573 20944 23512 26180 29390 32329 41146 47024 49963 52360 58780 64658 82292 99926 102865 104720 117560 129316 161645 164584 199852 205730 226303 235120 249815 258632 323290 329168 349741 399704 411460 452606 499630 517264 549593 646580 699482 799408 822920 905212 999260 1099186 1131515 1293160 1398964 1645840 1748705 1810424 1998520 2198372 2263030 2586320 2747965 2797928 3497410 3620848 3847151 3997040 4396744 4526060 5495930 5595856 6994820 7694302 8793488 9052120 10991860 13989640 15388604 18104240 19235755 21983720 27979280 30777208 38471510 43967440 61554416 76943020 153886040 307772080