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34024234105 = 5101569118409
BaseRepresentation
bin11111101100000000…
…001001110001111001
310020211012121011202201
4133230000021301321
51024140200442410
623344105230201
72313103134541
oct375400116171
9106735534681
1034024234105
111347a87a744
126716792361
133293020204
14190aaaa321
15d4208983a
hex7ec009c79

34024234105 has 16 divisors (see below), whose sum is σ = 41306144400. Its totient is φ = 26902297600.

The previous prime is 34024234087. The next prime is 34024234117. The reversal of 34024234105 is 50143242043.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2535021801 + 31489212304 = 50349^2 + 177452^2 .

It is not a de Polignac number, because 34024234105 - 27 = 34024233977 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228141 + ... + 346549.

It is an arithmetic number, because the mean of its divisors is an integer number (2581634025).

Almost surely, 234024234105 is an apocalyptic number.

It is an amenable number.

34024234105 is a deficient number, since it is larger than the sum of its proper divisors (7281910295).

34024234105 is a wasteful number, since it uses less digits than its factorization.

34024234105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119084.

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 34024234105 its reverse (50143242043), we get a palindrome (84167476148).

The spelling of 34024234105 in words is "thirty-four billion, twenty-four million, two hundred thirty-four thousand, one hundred five".

Divisors: 1 5 101 505 569 2845 57469 118409 287345 592045 11959309 59796545 67374721 336873605 6804846821 34024234105