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348432045305 = 51719321239381
BaseRepresentation
bin1010001001000000010…
…10110001010011111001
31020022100211100211212212
411010200022301103321
521202042100422210
6424022323544505
734113320342531
oct5044012612371
91208324324785
10348432045305
11124850895823
125764122b135
1326b1aaa5796
1412c155204c1
1590e4584805
hex51202b14f9

348432045305 has 16 divisors (see below), whose sum is σ = 445007531664. Its totient is φ = 260989501440.

The previous prime is 348432045287. The next prime is 348432045343. The reversal of 348432045305 is 503540234843.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 18546081856 + 329885963449 = 136184^2 + 574357^2 .

It is a de Polignac number, because none of the positive numbers 2k-348432045305 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10603286 + ... + 10636095.

It is an arithmetic number, because the mean of its divisors is an integer number (27812970729).

Almost surely, 2348432045305 is an apocalyptic number.

It is an amenable number.

348432045305 is a deficient number, since it is larger than the sum of its proper divisors (96575486359).

348432045305 is a wasteful number, since it uses less digits than its factorization.

348432045305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21239596.

The product of its (nonzero) digits is 691200, while the sum is 41.

The spelling of 348432045305 in words is "three hundred forty-eight billion, four hundred thirty-two million, forty-five thousand, three hundred five".

Divisors: 1 5 17 85 193 965 3281 16405 21239381 106196905 361069477 1805347385 4099200533 20496002665 69686409061 348432045305