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34420420229 = 1352317872833
BaseRepresentation
bin100000000011100111…
…011110111010000101
310021211211002111221212
4200003213132322011
51030443111421404
623451301021205
72325653513246
oct400347367205
9107754074855
1034420420229
1113663480198
1268073b4805
133327127880
14194755accd
15d66c4806e
hex8039dee85

34420420229 has 16 divisors (see below), whose sum is σ = 37172920512. Its totient is φ = 31683011328.

The previous prime is 34420420201. The next prime is 34420420259. The reversal of 34420420229 is 92202402443.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34420420229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34420420195 and 34420420204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34420420259) by changing a digit.

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, 12148397 + ... + 12151229.

It is an arithmetic number, because the mean of its divisors is an integer number (2323307532).

Almost surely, 234420420229 is an apocalyptic number.

It is an amenable number.

34420420229 is a deficient number, since it is larger than the sum of its proper divisors (2752500283).

34420420229 is a wasteful number, since it uses less digits than its factorization.

34420420229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5156.

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 34420420229 in words is "thirty-four billion, four hundred twenty million, four hundred twenty thousand, two hundred twenty-nine".

Divisors: 1 13 523 1787 2833 6799 23231 36829 934601 1481659 5062571 12149813 19261567 65813423 2647724633 34420420229