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314085341 = 2937292717
BaseRepresentation
bin10010101110001…
…000111111011101
3210220000012002102
4102232020333131
51120401212331
651055534445
710532452463
oct2256107735
9726005072
10314085341
11151324a69
128922a425
13500c001b
142d9dc833
151c8924cb
hex12b88fdd

314085341 has 8 divisors (see below), whose sum is σ = 333698520. Its totient is φ = 295057728.

The previous prime is 314085337. The next prime is 314085377. The reversal of 314085341 is 143580413.

It can be written as a sum of positive squares in 4 ways, for example, as 226382116 + 87703225 = 15046^2 + 9365^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 314085341 - 22 = 314085337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314085301) 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 7 ways as a sum of consecutive naturals, for example, 145286 + ... + 147431.

It is an arithmetic number, because the mean of its divisors is an integer number (41712315).

Almost surely, 2314085341 is an apocalyptic number.

It is an amenable number.

314085341 is a deficient number, since it is larger than the sum of its proper divisors (19613179).

314085341 is a wasteful number, since it uses less digits than its factorization.

314085341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292783.

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 314085341 is about 17722.4530186992. The cubic root of 314085341 is about 679.7500097503.

The spelling of 314085341 in words is "three hundred fourteen million, eighty-five thousand, three hundred forty-one".

Divisors: 1 29 37 1073 292717 8488793 10830529 314085341