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34102333409 = 535927739371
BaseRepresentation
bin11111110000101010…
…000100111111100001
310021000122120000212112
4133300222010333201
51024320144132114
623355535205105
72315042023364
oct376052047741
9107018500775
1034102333409
111350a972921
126738976795
1332a6266411
1419171da0db
15d48d6513e
hex7f0a84fe1

34102333409 has 16 divisors (see below), whose sum is σ = 35463147840. Its totient is φ = 32772217920.

The previous prime is 34102333313. The next prime is 34102333411. The reversal of 34102333409 is 90433320143.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34102333409 is a prime.

It is a super-2 number, since 2×341023334092 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34102333439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 846494 + ... + 885864.

It is an arithmetic number, because the mean of its divisors is an integer number (2216446740).

Almost surely, 234102333409 is an apocalyptic number.

It is an amenable number.

34102333409 is a deficient number, since it is larger than the sum of its proper divisors (1360814431).

34102333409 is a wasteful number, since it uses less digits than its factorization.

34102333409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39760.

The product of its (nonzero) digits is 23328, while the sum is 32.

The spelling of 34102333409 in words is "thirty-four billion, one hundred two million, three hundred thirty-three thousand, four hundred nine".

Divisors: 1 53 59 277 3127 14681 16343 39371 866179 2086663 2322889 10905767 123113117 578005651 643440253 34102333409