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314264329 = 17293120563
BaseRepresentation
bin10010101110110…
…100101100001001
3210220100021121121
4102232310230021
51120422424304
651103435241
710534126351
oct2256645411
9726307547
10314264329
11151437495
12892b5b21
1350153632
142da47b61
151c8ca554
hex12bb4b09

314264329 has 16 divisors (see below), whose sum is σ = 355345920. Its totient is φ = 276353280.

The previous prime is 314264323. The next prime is 314264359. The reversal of 314264329 is 923462413.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 314264329 - 25 = 314264297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 314264294 and 314264303.

It is not an unprimeable number, because it can be changed into a prime (314264323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5002 + ... + 25564.

It is an arithmetic number, because the mean of its divisors is an integer number (22209120).

Almost surely, 2314264329 is an apocalyptic number.

It is an amenable number.

314264329 is a deficient number, since it is larger than the sum of its proper divisors (41081591).

314264329 is a wasteful number, since it uses less digits than its factorization.

314264329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20640.

The product of its digits is 31104, while the sum is 34.

The square root of 314264329 is about 17727.5020518967. The cubic root of 314264329 is about 679.8791084109.

The spelling of 314264329 in words is "three hundred fourteen million, two hundred sixty-four thousand, three hundred twenty-nine".

Divisors: 1 17 29 31 493 527 899 15283 20563 349571 596327 637453 10137559 10836701 18486137 314264329