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34434224001 = 3219434683017
BaseRepresentation
bin100000000100011100…
…001000111110000001
310021212210001211011200
4200010130020332001
51031010130132001
623452512531413
72326212034422
oct400434107601
9107783054150
1034434224001
1113670249171
12680bb50b69
133329c4b898
141949311649
15d68073086
hex804708f81

34434224001 has 24 divisors (see below), whose sum is σ = 53573725920. Its totient is φ = 21242160576.

The previous prime is 34434223991. The next prime is 34434224009. The reversal of 34434224001 is 10042243443.

It is a happy number.

34434224001 is a `hidden beast` number, since 3 + 4 + 434 + 224 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 34434224001 - 218 = 34433961857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34434224009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2334156 + ... + 2348861.

It is an arithmetic number, because the mean of its divisors is an integer number (2232238580).

Almost surely, 234434224001 is an apocalyptic number.

It is an amenable number.

34434224001 is a deficient number, since it is larger than the sum of its proper divisors (19139501919).

34434224001 is a wasteful number, since it uses less digits than its factorization.

34434224001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4683085 (or 4683082 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34434224001 its reverse (10042243443), we get a palindrome (44476467444).

The spelling of 34434224001 in words is "thirty-four billion, four hundred thirty-four million, two hundred twenty-four thousand, one".

Divisors: 1 3 9 19 43 57 129 171 387 817 2451 7353 4683017 14049051 42147153 88977323 201369731 266931969 604109193 800795907 1812327579 3826024889 11478074667 34434224001