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314367093 = 3243380669
BaseRepresentation
bin10010101111001…
…101110001110101
3210220112111120200
4102233031301311
51120434221333
651105551113
710535035065
oct2257156165
9726474520
10314367093
111514a7717
1289345499
135018b341
142da733a5
151c8eac13
hex12bcdc75

314367093 has 12 divisors (see below), whose sum is σ = 455140140. Its totient is φ = 209091456.

The previous prime is 314367073. The next prime is 314367167. The reversal of 314367093 is 390763413.

It can be written as a sum of positive squares in 2 ways, for example, as 43007364 + 271359729 = 6558^2 + 16473^2 .

It is not a de Polignac number, because 314367093 - 214 = 314350709 is a prime.

It is a super-2 number, since 2×3143670932 = 197653338322541298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314367073) 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 11 ways as a sum of consecutive naturals, for example, 36438 + ... + 44231.

It is an arithmetic number, because the mean of its divisors is an integer number (37928345).

Almost surely, 2314367093 is an apocalyptic number.

It is an amenable number.

314367093 is a deficient number, since it is larger than the sum of its proper divisors (140773047).

314367093 is a wasteful number, since it uses less digits than its factorization.

314367093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81108 (or 81105 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 314367093 is about 17730.4002492894. The cubic root of 314367093 is about 679.9532068435.

The spelling of 314367093 in words is "three hundred fourteen million, three hundred sixty-seven thousand, ninety-three".

Divisors: 1 3 9 433 1299 3897 80669 242007 726021 34929677 104789031 314367093