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314000505 = 32571376679
BaseRepresentation
bin10010101101110…
…100010001111001
3210212211212201100
4102231310101321
51120341004010
651054042013
710531650240
oct2255642171
9725755640
10314000505
11151277255
12891a9309
1350090520
142d9b9957
151c8772c0
hex12b74479

314000505 has 48 divisors (see below), whose sum is σ = 669876480. Its totient is φ = 132499584.

The previous prime is 314000501. The next prime is 314000527. The reversal of 314000505 is 505000413.

It is not a de Polignac number, because 314000505 - 22 = 314000501 is a prime.

It is not an unprimeable number, because it can be changed into a prime (314000501) 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, 34245 + ... + 42434.

It is an arithmetic number, because the mean of its divisors is an integer number (13955760).

Almost surely, 2314000505 is an apocalyptic number.

314000505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

314000505 is an abundant number, since it is smaller than the sum of its proper divisors (355875975).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314000505 is a wasteful number, since it uses less digits than its factorization.

314000505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76710 (or 76707 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 314000505 is about 17720.0593960630. The cubic root of 314000505 is about 679.6888029622.

Adding to 314000505 its reverse (505000413), we get a palindrome (819000918).

The spelling of 314000505 in words is "three hundred fourteen million, five hundred five", and thus it is an aban number.

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1365 4095 76679 230037 383395 536753 690111 996827 1150185 1610259 2683765 2990481 3450555 4830777 4984135 6977789 8051295 8971443 14952405 20933367 24153885 34888945 44857215 62800101 104666835 314000505