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314411331 = 3133128389
BaseRepresentation
bin10010101111011…
…000100101000011
3210220121202021010
4102233120211003
51120442130311
651110532003
710535311053
oct2257304503
9726552233
10314411331
11151527983
1289367003
13501a5510
142da85563
151c908da6
hex12bd8943

314411331 has 24 divisors (see below), whose sum is σ = 466551120. Its totient is φ = 187220160.

The previous prime is 314411327. The next prime is 314411333. The reversal of 314411331 is 133114413.

It is not a de Polignac number, because 314411331 - 22 = 314411327 is a prime.

It is a super-2 number, since 2×3144113312 = 197708970122383122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314411298 and 314411307.

It is not an unprimeable number, because it can be changed into a prime (314411333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33285 + ... + 41673.

It is an arithmetic number, because the mean of its divisors is an integer number (19439630).

Almost surely, 2314411331 is an apocalyptic number.

314411331 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

314411331 is a deficient number, since it is larger than the sum of its proper divisors (152139789).

314411331 is a wasteful number, since it uses less digits than its factorization.

314411331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8467 (or 8436 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 314411331 is about 17731.6477237734. The cubic root of 314411331 is about 679.9850998754.

Adding to 314411331 its reverse (133114413), we get a palindrome (447525744).

The spelling of 314411331 in words is "three hundred fourteen million, four hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 13 31 39 93 403 961 1209 2883 8389 12493 25167 37479 109057 260059 327171 780177 3380767 8061829 10142301 24185487 104803777 314411331