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34705335441 = 374021411001
BaseRepresentation
bin100000010100100110…
…010110010010010001
310022120200012201011010
4200110212112102101
51032034031213231
623535435441133
72336013324660
oct402446262221
9108520181133
1034705335441
111379a291207
1268868b61a9
13337117355a
141973324dd7
15d81c77546
hex814996491

34705335441 has 16 divisors (see below), whose sum is σ = 52897601408. Its totient is φ = 19826640000.

The previous prime is 34705335437. The next prime is 34705335487. The reversal of 34705335441 is 14453350743.

It is not a de Polignac number, because 34705335441 - 22 = 34705335437 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34705335441.

It is not an unprimeable number, because it can be changed into a prime (34705335541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121060 + ... + 289941.

It is an arithmetic number, because the mean of its divisors is an integer number (3306100088).

Almost surely, 234705335441 is an apocalyptic number.

It is an amenable number.

34705335441 is a deficient number, since it is larger than the sum of its proper divisors (18192265967).

34705335441 is a wasteful number, since it uses less digits than its factorization.

34705335441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415032.

The product of its (nonzero) digits is 302400, while the sum is 39.

The spelling of 34705335441 in words is "thirty-four billion, seven hundred five million, three hundred thirty-five thousand, four hundred forty-one".

Divisors: 1 3 7 21 4021 12063 28147 84441 411001 1233003 2877007 8631021 1652635021 4957905063 11568445147 34705335441