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314520145 = 5172217661
BaseRepresentation
bin10010101111110…
…011001001010001
3210220211021112021
4102233303021101
51121004121040
651113131441
710536243232
oct2257631121
9726737467
10314520145
111515a1705
12893b9b81
1350212bc4
142dab3089
151c92b24a
hex12bf3251

314520145 has 12 divisors (see below), whose sum is σ = 400933404. Its totient is φ = 236814080.

The previous prime is 314520139. The next prime is 314520181. The reversal of 314520145 is 541025413.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 14814801 + 299705344 = 3849^2 + 17312^2 .

It is not a de Polignac number, because 314520145 - 23 = 314520137 is a prime.

It is a super-3 number, since 3×3145201453 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107386 + ... + 110275.

It is an arithmetic number, because the mean of its divisors is an integer number (33411117).

Almost surely, 2314520145 is an apocalyptic number.

It is an amenable number.

314520145 is a deficient number, since it is larger than the sum of its proper divisors (86413259).

314520145 is a wasteful number, since it uses less digits than its factorization.

314520145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217700 (or 217683 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 314520145 is about 17734.7158139058. The cubic root of 314520145 is about 680.0635357300.

Adding to 314520145 its reverse (541025413), we get a palindrome (855545558).

The spelling of 314520145 in words is "three hundred fourteen million, five hundred twenty thousand, one hundred forty-five".

Divisors: 1 5 17 85 289 1445 217661 1088305 3700237 18501185 62904029 314520145