Search a number
-
+
314441085 = 35723831117
BaseRepresentation
bin10010101111011…
…111110101111101
3210220200021002010
4102233133311331
51120444103320
651111321433
710535463600
oct2257376575
9726607063
10314441085
11151548272
1289380279
13501b5c1a
142da92337
151c912ae0
hex12bdfd7d

314441085 has 48 divisors (see below), whose sum is σ = 587298816. Its totient is φ = 143240832.

The previous prime is 314441047. The next prime is 314441131. The reversal of 314441085 is 580144413.

It is not a de Polignac number, because 314441085 - 26 = 314441021 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280947 + ... + 282063.

It is an arithmetic number, because the mean of its divisors is an integer number (12235392).

Almost surely, 2314441085 is an apocalyptic number.

314441085 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

314441085 is a deficient number, since it is larger than the sum of its proper divisors (272857731).

314441085 is a wasteful number, since it uses less digits than its factorization.

314441085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 314441085 is about 17732.4867122465. The cubic root of 314441085 is about 680.0065491007.

Adding to 314441085 its reverse (580144413), we get a palindrome (894585498).

The spelling of 314441085 in words is "three hundred fourteen million, four hundred forty-one thousand, eighty-five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 383 735 1117 1149 1915 2681 3351 5585 5745 7819 8043 13405 16755 18767 23457 39095 40215 54733 56301 93835 117285 164199 273665 281505 427811 820995 1283433 2139055 2994677 6417165 8984031 14973385 20962739 44920155 62888217 104813695 314441085