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345083211 = 321118672
BaseRepresentation
bin10100100100011…
…000110101001011
3220001100001011200
4110210120311023
51201320130321
654124155243
711360105334
oct2444306513
9801301150
10345083211
11167877140
1297698b23
1356654265
1433b8b28b
1520466d26
hex14918d4b

345083211 has 18 divisors (see below), whose sum is σ = 544058892. Its totient is φ = 209029320.

The previous prime is 345083203. The next prime is 345083243. The reversal of 345083211 is 112380543.

345083211 = 39502 + 39512 + ... + 39712.

It is a happy number.

It is not a de Polignac number, because 345083211 - 23 = 345083203 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (345083251) 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 17 ways as a sum of consecutive naturals, for example, 183900 + ... + 185766.

It is an arithmetic number, because the mean of its divisors is an integer number (30225494).

Almost surely, 2345083211 is an apocalyptic number.

345083211 is a deficient number, since it is larger than the sum of its proper divisors (198975681).

345083211 is an equidigital number, since it uses as much as digits as its factorization.

345083211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3751 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 345083211 is about 18576.4154507806. The cubic root of 345083211 is about 701.4142909601.

The spelling of 345083211 in words is "three hundred forty-five million, eighty-three thousand, two hundred eleven".

Divisors: 1 3 9 11 33 99 1867 5601 16803 20537 61611 184833 3485689 10457067 31371201 38342579 115027737 345083211