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348081349 = 72111941829
BaseRepresentation
bin10100101111110…
…100110011000101
3220020222100211211
4110233310303011
51203102100344
654312331421
711424433300
oct2457646305
9806870754
10348081349
11169534740
12986a3b71
1357163ac5
143432bb37
152085a334
hex14bf4cc5

348081349 has 48 divisors (see below), whose sum is σ = 476884800. Its totient is φ = 250387200.

The previous prime is 348081337. The next prime is 348081373. The reversal of 348081349 is 943180843.

It is not a de Polignac number, because 348081349 - 217 = 347950277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348081449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 419467 + ... + 420295.

It is an arithmetic number, because the mean of its divisors is an integer number (9935100).

Almost surely, 2348081349 is an apocalyptic number.

It is an amenable number.

348081349 is a deficient number, since it is larger than the sum of its proper divisors (128803451).

348081349 is a wasteful number, since it uses less digits than its factorization.

348081349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 348081349 is about 18656.9383608351. The cubic root of 348081349 is about 703.4397694365.

The spelling of 348081349 in words is "three hundred forty-eight million, eighty-one thousand, three hundred forty-nine".

Divisors: 1 7 11 19 41 49 77 133 209 287 451 539 779 829 931 1463 2009 3157 5453 5803 8569 9119 10241 15751 22099 33989 38171 40621 59983 63833 110257 173261 237923 373879 419881 446831 645791 771799 1212827 1665461 2617153 4520537 7103701 8489789 18320071 31643759 49725907 348081349