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314441130 = 23556318617
BaseRepresentation
bin10010101111011…
…111110110101010
3210220200021010210
4102233133312222
51120444104010
651111321550
710535463663
oct2257376652
9726607123
10314441130
11151548303
12893802b6
13501b5c53
142da9236a
151c912b20
hex12bdfdaa

314441130 has 32 divisors (see below), whose sum is σ = 756039744. Its totient is φ = 83697536.

The previous prime is 314441047. The next prime is 314441131. The reversal of 314441130 is 31144413.

It is a junction number, because it is equal to n+sod(n) for n = 314441097 and 314441106.

It is not an unprimeable number, because it can be changed into a prime (314441131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7582 + ... + 26198.

It is an arithmetic number, because the mean of its divisors is an integer number (23626242).

Almost surely, 2314441130 is an apocalyptic number.

314441130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

314441130 is an abundant number, since it is smaller than the sum of its proper divisors (441598614).

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

314441130 is a wasteful number, since it uses less digits than its factorization.

314441130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19190.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 314441130 is about 17732.4879811041. The cubic root of 314441130 is about 680.0065815395.

Adding to 314441130 its reverse (31144413), we get a palindrome (345585543).

The spelling of 314441130 in words is "three hundred fourteen million, four hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 563 1126 1689 2815 3378 5630 8445 16890 18617 37234 55851 93085 111702 186170 279255 558510 10481371 20962742 31444113 52406855 62888226 104813710 157220565 314441130