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314419212 = 22338533413
BaseRepresentation
bin10010101111011…
…010100000001100
3210220122011002000
4102233122200030
51120442403322
651111032300
710535343042
oct2257324014
9726564060
10314419212
11151532898
128936b690
13501a8c93
142da88392
151c90b3ac
hex12bda80c

314419212 has 48 divisors (see below), whose sum is σ = 816355680. Its totient is φ = 104652864.

The previous prime is 314419211. The next prime is 314419243. The reversal of 314419212 is 212914413.

It is a happy number.

314419212 is a `hidden beast` number, since 3 + 1 + 441 + 9 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (314419211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90418 + ... + 93830.

It is an arithmetic number, because the mean of its divisors is an integer number (17007410).

Almost surely, 2314419212 is an apocalyptic number.

It is an amenable number.

314419212 is an abundant number, since it is smaller than the sum of its proper divisors (501936468).

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

314419212 is a wasteful number, since it uses less digits than its factorization.

314419212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4279 (or 4271 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 314419212 is about 17731.8699521511. The cubic root of 314419212 is about 679.9907813052.

The spelling of 314419212 in words is "three hundred fourteen million, four hundred nineteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 853 1706 2559 3412 3413 5118 6826 7677 10236 10239 13652 15354 20478 23031 30708 30717 40956 46062 61434 92124 92151 122868 184302 368604 2911289 5822578 8733867 11645156 17467734 26201601 34935468 52403202 78604803 104806404 157209606 314419212