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314240127 = 3539072179
BaseRepresentation
bin10010101110101…
…110110001111111
3210220022001102020
4102232232301333
51120421141002
651103131223
710533665655
oct2256566177
9726261366
10314240127
11151420293
12892a3b13
1350145606
142da3cdd5
151c8c32bc
hex12baec7f

314240127 has 16 divisors (see below), whose sum is σ = 427559040. Its totient is φ = 205219872.

The previous prime is 314240123. The next prime is 314240131. The reversal of 314240127 is 721042413.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (314240123) and next prime (314240131).

It is not a de Polignac number, because 314240127 - 22 = 314240123 is a prime.

It is a super-2 number, since 2×3142401272 = 197493714833952258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314240097 and 314240106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314240123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143124 + ... + 145302.

It is an arithmetic number, because the mean of its divisors is an integer number (26722440).

Almost surely, 2314240127 is an apocalyptic number.

314240127 is a deficient number, since it is larger than the sum of its proper divisors (113318913).

314240127 is a wasteful number, since it uses less digits than its factorization.

314240127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142.

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 314240127 is about 17726.8194270715. The cubic root of 314240127 is about 679.8616551027.

The spelling of 314240127 in words is "three hundred fourteen million, two hundred forty thousand, one hundred twenty-seven".

Divisors: 1 3 53 159 907 2179 2721 6537 48071 115487 144213 346461 1976353 5929059 104746709 314240127