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314082717 = 3134753261
BaseRepresentation
bin10010101110001…
…000010110011101
3210220000001111020
4102232020112131
51120401121332
651055514353
710532442024
oct2256102635
9726001436
10314082717
11151322aa3
12892289b9
13500bba80
142d9db8bb
151c89182c
hex12b8859d

314082717 has 48 divisors (see below), whose sum is σ = 477136128. Its totient is φ = 182557440.

The previous prime is 314082697. The next prime is 314082761. The reversal of 314082717 is 717280413.

It is a happy number.

It is not a de Polignac number, because 314082717 - 27 = 314082589 is a prime.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314182717) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5148867 + ... + 5148927.

It is an arithmetic number, because the mean of its divisors is an integer number (9940336).

Almost surely, 2314082717 is an apocalyptic number.

It is an amenable number.

314082717 is a deficient number, since it is larger than the sum of its proper divisors (163053411).

314082717 is a wasteful number, since it uses less digits than its factorization.

314082717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 314082717 is about 17722.3789881607. The cubic root of 314082717 is about 679.7481167733.

The spelling of 314082717 in words is "three hundred fourteen million, eighty-two thousand, seven hundred seventeen".

Divisors: 1 3 13 39 47 53 61 141 159 183 611 689 793 1833 2067 2379 2491 2809 2867 3233 7473 8427 8601 9699 32383 36517 37271 42029 97149 109551 111813 126087 132023 151951 171349 396069 455853 514047 1716299 1975363 2227537 5148897 5926089 6682611 8053403 24160209 104694239 314082717