Search a number
-
+
307181056 = 2971319347
BaseRepresentation
bin10010010011110…
…011011000000000
3210102000102012011
4102103303120000
51112114243211
650251542304
710416665410
oct2223633000
9712012164
10307181056
11148439746
1286a5a994
134b843550
142cb22640
151be7b921
hex124f3600

307181056 has 160 divisors (see below), whose sum is σ = 797448960. Its totient is φ = 114794496.

The previous prime is 307181047. The next prime is 307181059. The reversal of 307181056 is 650181703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307181059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 885075 + ... + 885421.

It is an arithmetic number, because the mean of its divisors is an integer number (4984056).

Almost surely, 2307181056 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 307181056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398724480).

307181056 is an abundant number, since it is smaller than the sum of its proper divisors (490267904).

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

307181056 is a wasteful number, since it uses less digits than its factorization.

307181056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 307181056 is about 17526.5814122435. The cubic root of 307181056 is about 674.7322621747.

The spelling of 307181056 in words is "three hundred seven million, one hundred eighty-one thousand, fifty-six".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 64 76 91 104 112 128 133 152 182 208 224 247 256 266 304 347 364 416 448 494 512 532 608 694 728 832 896 988 1064 1216 1388 1456 1664 1729 1792 1976 2128 2429 2432 2776 2912 3328 3458 3584 3952 4256 4511 4858 4864 5552 5824 6593 6656 6916 7904 8512 9022 9716 9728 11104 11648 13186 13832 15808 17024 18044 19432 22208 23296 26372 27664 31577 31616 34048 36088 38864 44416 46151 46592 52744 55328 63154 63232 68096 72176 77728 85709 88832 92302 105488 110656 126308 126464 144352 155456 171418 177664 184604 210976 221312 252616 288704 310912 342836 369208 421952 442624 505232 577408 599963 621824 685672 738416 843904 885248 1010464 1154816 1199926 1243648 1371344 1476832 1687808 2020928 2309632 2399852 2742688 2953664 3375616 4041856 4799704 5485376 5907328 8083712 9599408 10970752 11814656 16167424 19198816 21941504 23629312 38397632 43883008 76795264 153590528 307181056