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348208245 = 325711100493
BaseRepresentation
bin10100110000010…
…011110001110101
3220021012210220200
4110300103301311
51203120130440
654315151113
711425502250
oct2460236165
9807183820
10348208245
11169611010
1298745499
13571a97a8
1434362097
1520882c30
hex14c13c75

348208245 has 48 divisors (see below), whose sum is σ = 752499072. Its totient is φ = 144708480.

The previous prime is 348208241. The next prime is 348208271. The reversal of 348208245 is 542802843.

It is not a de Polignac number, because 348208245 - 22 = 348208241 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348208241) 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, 46782 + ... + 53711.

It is an arithmetic number, because the mean of its divisors is an integer number (15677064).

Almost surely, 2348208245 is an apocalyptic number.

348208245 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

348208245 is an abundant number, since it is smaller than the sum of its proper divisors (404290827).

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

348208245 is a wasteful number, since it uses less digits than its factorization.

348208245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100522 (or 100519 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 348208245 is about 18660.3388232904. The cubic root of 348208245 is about 703.5252406902.

The spelling of 348208245 in words is "three hundred forty-eight million, two hundred eight thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 100493 301479 502465 703451 904437 1105423 1507395 2110353 3316269 3517255 4522185 5527115 6331059 7737961 9948807 10551765 16581345 23213883 31655295 38689805 49744035 69641649 116069415 348208245