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314105330 = 257113113159
BaseRepresentation
bin10010101110001…
…101110111110010
3210220001012111202
4102232031313302
51120402332310
651100211202
710532564660
oct2256156762
9726035452
10314105330
11151338a90
1289239b02
13500c9156
142da05c30
151c8983a5
hex12b8ddf2

314105330 has 64 divisors (see below), whose sum is σ = 727695360. Its totient is φ = 94737600.

The previous prime is 314105317. The next prime is 314105333. The reversal of 314105330 is 33501413.

It is a happy number.

314105330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (314105333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17291 + ... + 30449.

It is an arithmetic number, because the mean of its divisors is an integer number (11370240).

Almost surely, 2314105330 is an apocalyptic number.

314105330 is an abundant number, since it is smaller than the sum of its proper divisors (413590030).

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

314105330 is a wasteful number, since it uses less digits than its factorization.

314105330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13215.

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 314105330 is about 17723.0169553606. The cubic root of 314105330 is about 679.7644296472.

Adding to 314105330 its reverse (33501413), we get a palindrome (347606743).

The spelling of 314105330 in words is "three hundred fourteen million, one hundred five thousand, three hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 31 35 55 62 70 77 110 154 155 217 310 341 385 434 682 770 1085 1705 2170 2387 3410 4774 11935 13159 23870 26318 65795 92113 131590 144749 184226 289498 407929 460565 723745 815858 921130 1013243 1447490 2026486 2039645 2855503 4079290 4487219 5066215 5711006 8974438 10132430 14277515 22436095 28555030 31410533 44872190 62821066 157052665 314105330