Search a number
-
+
34542420345 = 3252413185101
BaseRepresentation
bin100000001010111000…
…111000000101111001
310022011022122202122200
4200022320320011321
51031220324422340
623511335540413
72331664504566
oct401270700571
9108138582580
1034542420345
1113716328734
12684022a709
1333464a1ca4
14195983786d
15d727e6330
hex80ae38179

34542420345 has 24 divisors (see below), whose sum is σ = 60121985352. Its totient is φ = 18346176000.

The previous prime is 34542420293. The next prime is 34542420359. The reversal of 34542420345 is 54302424543.

34542420345 is a `hidden beast` number, since 34 + 542 + 42 + 0 + 3 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15604256889 + 18938163456 = 124917^2 + 137616^2 .

It is not a de Polignac number, because 34542420345 - 211 = 34542418297 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1581706 + ... + 1603395.

It is an arithmetic number, because the mean of its divisors is an integer number (2505082723).

Almost surely, 234542420345 is an apocalyptic number.

It is an amenable number.

34542420345 is a deficient number, since it is larger than the sum of its proper divisors (25579565007).

34542420345 is a wasteful number, since it uses less digits than its factorization.

34542420345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3185353 (or 3185350 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 34542420345 its reverse (54302424543), we get a palindrome (88844844888).

The spelling of 34542420345 in words is "thirty-four billion, five hundred forty-two million, four hundred twenty thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 241 723 1205 2169 3615 10845 3185101 9555303 15925505 28665909 47776515 143329545 767609341 2302828023 3838046705 6908484069 11514140115 34542420345