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314342441 = 7197273251
BaseRepresentation
bin10010101111000…
…111110000101001
3210220111020202122
4102233013300221
51120432424231
651105241025
710534603160
oct2257076051
9726436678
10314342441
11151490146
1289333175
135018005a
142da683d7
151c8e377b
hex12bc7c29

314342441 has 16 divisors (see below), whose sum is σ = 378792960. Its totient is φ = 254826000.

The previous prime is 314342419. The next prime is 314342447. The reversal of 314342441 is 144243413.

It is a cyclic number.

It is not a de Polignac number, because 314342441 - 214 = 314326057 is a prime.

It is a super-3 number, since 3×3143424413 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 314342441.

It is not an unprimeable number, because it can be changed into a prime (314342447) 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, 95066 + ... + 98316.

It is an arithmetic number, because the mean of its divisors is an integer number (23674560).

Almost surely, 2314342441 is an apocalyptic number.

It is an amenable number.

314342441 is a deficient number, since it is larger than the sum of its proper divisors (64450519).

314342441 is a wasteful number, since it uses less digits than its factorization.

314342441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4004.

The product of its digits is 4608, while the sum is 26.

The square root of 314342441 is about 17729.7050454879. The cubic root of 314342441 is about 679.9354328833.

Adding to 314342441 its reverse (144243413), we get a palindrome (458585854).

The spelling of 314342441 in words is "three hundred fourteen million, three hundred forty-two thousand, four hundred forty-one".

Divisors: 1 7 19 133 727 3251 5089 13813 22757 61769 96691 432383 2363477 16544339 44906063 314342441