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314027721 = 32723372113
BaseRepresentation
bin10010101101111…
…010111011001001
3210212220021001100
4102231322323021
51120342341341
651054412013
710532122500
oct2255727311
9725807040
10314027721
11151295747
1289201009
135009ca27
142d9c5837
151c8803b6
hex12b7aec9

314027721 has 36 divisors (see below), whose sum is σ = 529468212. Its totient is φ = 178827264.

The previous prime is 314027719. The next prime is 314027729. The reversal of 314027721 is 127720413.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 25401600 + 288626121 = 5040^2 + 16989^2 .

It is not a de Polignac number, because 314027721 - 21 = 314027719 is a prime.

It is a super-2 number, since 2×3140277212 = 197226819112907682, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314027729) 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 35 ways as a sum of consecutive naturals, for example, 147561 + ... + 149673.

Almost surely, 2314027721 is an apocalyptic number.

It is an amenable number.

314027721 is a deficient number, since it is larger than the sum of its proper divisors (215440491).

314027721 is a wasteful number, since it uses less digits than its factorization.

314027721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 314027721 is about 17720.8273226732. The cubic root of 314027721 is about 679.7084397417.

The spelling of 314027721 in words is "three hundred fourteen million, twenty-seven thousand, seven hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 337 441 1011 2113 2359 3033 6339 7077 14791 16513 19017 21231 44373 49539 103537 133119 148617 310611 712081 931833 2136243 4984567 6408729 14953701 34891969 44861103 104675907 314027721