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34345510245 = 34584803729
BaseRepresentation
bin11111111111001001…
…101110010101100101
310021122121010200210000
4133333021232111211
51030314422311440
623440023251513
72324054006634
oct377711562545
9107577120700
1034345510245
1113625166212
1267a62a9b99
13331475a237
14193b61b51b
15d6039c730
hex7ff26e565

34345510245 has 20 divisors (see below), whose sum is σ = 61567507980. Its totient is φ = 18317605248.

The previous prime is 34345510163. The next prime is 34345510259. The reversal of 34345510245 is 54201554343.

34345510245 is a `hidden beast` number, since 34 + 34 + 551 + 0 + 2 + 45 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9157915809 + 25187594436 = 95697^2 + 158706^2 .

It is not a de Polignac number, because 34345510245 - 218 = 34345248101 is a prime.

It is a super-2 number, since 2×343455102452 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 42401460 + ... + 42402269.

It is an arithmetic number, because the mean of its divisors is an integer number (3078375399).

Almost surely, 234345510245 is an apocalyptic number.

It is an amenable number.

34345510245 is a deficient number, since it is larger than the sum of its proper divisors (27221997735).

34345510245 is an equidigital number, since it uses as much as digits as its factorization.

34345510245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84803746 (or 84803737 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 34345510245 in words is "thirty-four billion, three hundred forty-five million, five hundred ten thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 84803729 254411187 424018645 763233561 1272055935 2289700683 3816167805 6869102049 11448503415 34345510245