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34345000530 = 2325381611117
BaseRepresentation
bin11111111111000111…
…110001111001010010
310021122120011210120200
4133333013301321102
51030314310004110
623440004320030
72324046454611
oct377707617122
9107576153520
1034345000530
1113624948265
1267a60a3016
13331460c229
14193b527878
15d602eb6c0
hex7ff1f1e52

34345000530 has 24 divisors (see below), whose sum is σ = 89297001612. Its totient is φ = 9158666784.

The previous prime is 34345000523. The next prime is 34345000531. The reversal of 34345000530 is 3500054343.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 30398271201 + 3946729329 = 174351^2 + 62823^2 .

It is a super-2 number, since 2×343450005302 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34345000494 and 34345000503.

It is not an unprimeable number, because it can be changed into a prime (34345000531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190805469 + ... + 190805648.

Almost surely, 234345000530 is an apocalyptic number.

34345000530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34345000530 is an abundant number, since it is smaller than the sum of its proper divisors (54952001082).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34345000530 is a wasteful number, since it uses less digits than its factorization.

34345000530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381611130 (or 381611127 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

Adding to 34345000530 its reverse (3500054343), we get a palindrome (37845054873).

The spelling of 34345000530 in words is "thirty-four billion, three hundred forty-five million, five hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 381611117 763222234 1144833351 1908055585 2289666702 3434500053 3816111170 5724166755 6869000106 11448333510 17172500265 34345000530