Search a number
-
+
341571072 = 29317103127
BaseRepresentation
bin10100010110111…
…111011000000000
3212210201121102110
4110112333120000
51144420233242
653521015320
711315210013
oct2426773000
9783647373
10341571072
11165898447
1296484540
13559c477b
143351537a
151eec139c
hex145bf600

341571072 has 160 divisors (see below), whose sum is σ = 980508672. Its totient is φ = 105283584.

The previous prime is 341571049. The next prime is 341571079. The reversal of 341571072 is 270175143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341571079) 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 15 ways as a sum of consecutive naturals, for example, 2689473 + ... + 2689599.

Almost surely, 2341571072 is an apocalyptic number.

341571072 is a gapful number since it is divisible by the number (32) 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 341571072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490254336).

341571072 is an abundant number, since it is smaller than the sum of its proper divisors (638937600).

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

341571072 is a wasteful number, since it uses less digits than its factorization.

341571072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 341571072 is about 18481.6414855391. The cubic root of 341571072 is about 699.0265871455.

The spelling of 341571072 in words is "three hundred forty-one million, five hundred seventy-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 103 127 128 136 192 204 206 254 256 272 309 381 384 408 412 508 512 544 618 762 768 816 824 1016 1088 1236 1524 1536 1632 1648 1751 2032 2159 2176 2472 3048 3264 3296 3502 4064 4318 4352 4944 5253 6096 6477 6528 6592 7004 8128 8636 8704 9888 10506 12192 12954 13056 13081 13184 14008 16256 17272 19776 21012 24384 25908 26112 26162 26368 28016 32512 34544 39243 39552 42024 48768 51816 52324 52736 56032 65024 69088 78486 79104 84048 97536 103632 104648 112064 138176 156972 158208 168096 195072 207264 209296 222377 224128 276352 313944 336192 414528 418592 444754 448256 552704 627888 667131 672384 829056 837184 889508 896512 1105408 1255776 1334262 1344768 1658112 1674368 1779016 2511552 2668524 2689536 3316224 3348736 3558032 5023104 5337048 6697472 7116064 10046208 10674096 14232128 20092416 21348192 28464256 42696384 56928512 85392768 113857024 170785536 341571072