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34102343331 = 3374723916063
BaseRepresentation
bin11111110000101010…
…000111011010100011
310021000122120112111000
4133300222013122203
51024320144441311
623355535323043
72315042064330
oct376052073243
9107018515430
1034102343331
111350a97a321
126738980483
1332a626aaa4
1419171dd987
15d48d68056
hex7f0a876a3

34102343331 has 64 divisors (see below), whose sum is σ = 59218329600. Its totient is φ = 18991451808.

The previous prime is 34102343329. The next prime is 34102343347. The reversal of 34102343331 is 13334320143.

It is not a de Polignac number, because 34102343331 - 21 = 34102343329 is a prime.

It is a super-2 number, since 2×341023433312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34102343295 and 34102343304.

It is not an unprimeable number, because it can be changed into a prime (34102343831) 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 63 ways as a sum of consecutive naturals, for example, 2115006 + ... + 2131068.

It is an arithmetic number, because the mean of its divisors is an integer number (925286400).

Almost surely, 234102343331 is an apocalyptic number.

34102343331 is a deficient number, since it is larger than the sum of its proper divisors (25115986269).

34102343331 is a wasteful number, since it uses less digits than its factorization.

34102343331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16365 (or 16359 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 34102343331 its reverse (13334320143), we get a palindrome (47436663474).

The spelling of 34102343331 in words is "thirty-four billion, one hundred two million, three hundred forty-three thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 27 47 63 141 189 239 329 423 717 987 1269 1673 2151 2961 5019 6453 8883 11233 15057 16063 33699 45171 48189 78631 101097 112441 144567 235893 303291 337323 433701 707679 754961 1011969 2123037 2264883 3035907 3839057 5284727 6794649 11517171 15854181 20383947 26873399 34551513 47562543 80620197 103654539 142687629 180435679 241860591 541307037 725581773 1263049753 1623921111 3789149259 4871763333 11367447777 34102343331