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34048548405 = 3251409537001
BaseRepresentation
bin11111101101011100…
…111001111000110101
310020212220100110201100
4133231130321320311
51024212412022110
623350334320313
72313516612654
oct375534717065
9106786313640
1034048548405
1113492577403
126722959099
133298084281
14190ddd919b
15d4428dbc0
hex7ed739e35

34048548405 has 24 divisors (see below), whose sum is σ = 59059479960. Its totient is φ = 18146304000.

The previous prime is 34048548403. The next prime is 34048548407. The reversal of 34048548405 is 50484584043.

It is an interprime number because it is at equal distance from previous prime (34048548403) and next prime (34048548407).

It can be written as a sum of positive squares in 4 ways, for example, as 182979729 + 33865568676 = 13527^2 + 184026^2 .

It is not a de Polignac number, because 34048548405 - 21 = 34048548403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34048548403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205096 + ... + 331905.

It is an arithmetic number, because the mean of its divisors is an integer number (2460811665).

Almost surely, 234048548405 is an apocalyptic number.

It is an amenable number.

34048548405 is a deficient number, since it is larger than the sum of its proper divisors (25010931555).

34048548405 is a wasteful number, since it uses less digits than its factorization.

34048548405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538421 (or 538418 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 34048548405 in words is "thirty-four billion, forty-eight million, five hundred forty-eight thousand, four hundred five".

Divisors: 1 3 5 9 15 45 1409 4227 7045 12681 21135 63405 537001 1611003 2685005 4833009 8055015 24165045 756634409 2269903227 3783172045 6809709681 11349516135 34048548405