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349065973 = 6146112413
BaseRepresentation
bin10100110011100…
…101001011110101
3220022211101111101
4110303211023311
51203330102343
654345410101
711436004024
oct2463451365
9808741441
10349065973
1116a047483
1298a99931
135741a019
14345068bb
15209a1e4d
hex14ce52f5

349065973 has 8 divisors (see below), whose sum is σ = 355586616. Its totient is φ = 342571200.

The previous prime is 349065971. The next prime is 349065991. The reversal of 349065973 is 379560943.

It can be written as a sum of positive squares in 4 ways, for example, as 3775249 + 345290724 = 1943^2 + 18582^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 349065973 - 21 = 349065971 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349065971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21915 + ... + 34327.

It is an arithmetic number, because the mean of its divisors is an integer number (44448327).

Almost surely, 2349065973 is an apocalyptic number.

It is an amenable number.

349065973 is a deficient number, since it is larger than the sum of its proper divisors (6520643).

349065973 is a wasteful number, since it uses less digits than its factorization.

349065973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12935.

The product of its (nonzero) digits is 612360, while the sum is 46.

The square root of 349065973 is about 18683.3073356941. The cubic root of 349065973 is about 704.1024226035.

The spelling of 349065973 in words is "three hundred forty-nine million, sixty-five thousand, nine hundred seventy-three".

Divisors: 1 61 461 12413 28121 757193 5722393 349065973