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34410344023 = 11291513112297
BaseRepresentation
bin100000000011000001…
…000010111001010111
310021211010010121000001
4200003001002321113
51030433022002043
623450301032131
72325502045456
oct400301027127
9107733117001
1034410344023
1113658818850
126803b55647
13332500a413
141946096b9d
15d65e0774d
hex803042e57

34410344023 has 32 divisors (see below), whose sum is σ = 39232926720. Its totient is φ = 29893920000.

The previous prime is 34410343991. The next prime is 34410344029. The reversal of 34410344023 is 32044301443.

It is a cyclic number.

It is not a de Polignac number, because 34410344023 - 25 = 34410343991 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34410343982 and 34410344000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34410344029) 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 31 ways as a sum of consecutive naturals, for example, 14979411 + ... + 14981707.

It is an arithmetic number, because the mean of its divisors is an integer number (1226028960).

Almost surely, 234410344023 is an apocalyptic number.

34410344023 is a deficient number, since it is larger than the sum of its proper divisors (4822582697).

34410344023 is a wasteful number, since it uses less digits than its factorization.

34410344023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799.

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 34410344023 its reverse (32044301443), we get a palindrome (66454645466).

The spelling of 34410344023 in words is "thirty-four billion, four hundred ten million, three hundred forty-four thousand, twenty-three".

Divisors: 1 11 29 151 311 319 1661 2297 3421 4379 9019 25267 46961 48169 66613 99209 346847 516571 714367 732743 1361869 3815317 7858037 10058563 14980559 20716643 107869417 110644193 227883073 1186563587 3128213093 34410344023