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348144353 = 1923312829
BaseRepresentation
bin10100110000000…
…100001011100001
3220021002120021022
4110300010023201
51203111104403
654313535225
711425115054
oct2460041341
9807076238
10348144353
11169578007
1298714515
135718669b
1434346a9b
152086dd38
hex14c042e1

348144353 has 24 divisors (see below), whose sum is σ = 395611200. Its totient is φ = 304935840.

The previous prime is 348144347. The next prime is 348144361. The reversal of 348144353 is 353441843.

It is not a de Polignac number, because 348144353 - 24 = 348144337 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (348144323) 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, 419543 + ... + 420371.

It is an arithmetic number, because the mean of its divisors is an integer number (16483800).

Almost surely, 2348144353 is an apocalyptic number.

It is an amenable number.

348144353 is a deficient number, since it is larger than the sum of its proper divisors (47466847).

348144353 is a wasteful number, since it uses less digits than its factorization.

348144353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 902 counting only the distinct ones).

The product of its digits is 69120, while the sum is 35.

The square root of 348144353 is about 18658.6267715499. The cubic root of 348144353 is about 703.4822086016.

The spelling of 348144353 in words is "three hundred forty-eight million, one hundred forty-four thousand, three hundred fifty-three".

Divisors: 1 19 23 31 437 589 713 829 961 13547 15751 18259 19067 22103 25699 362273 419957 488281 591077 796669 11230463 15136711 18323387 348144353