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817291345 = 51320296197
BaseRepresentation
bin110000101101101…
…110000001010001
32002221212200221211
4300231232001101
53133211310340
6213033220121
726152601413
oct6055560121
92087780854
10817291345
1138a3810a2
121a9861641
13100428460
147a78a9b3
154bb405ea
hex30b6e051

817291345 has 16 divisors (see below), whose sum is σ = 1056882960. Its totient is φ = 603143424.

The previous prime is 817291249. The next prime is 817291381. The reversal of 817291345 is 543192718.

It can be written as a sum of positive squares in 8 ways, for example, as 646416 + 816644929 = 804^2 + 28577^2 .

It is a de Polignac number, because none of the positive numbers 2k-817291345 is a prime.

It is a super-2 number, since 2×8172913452 = 1335930285223818050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 817291298 and 817291307.

It is an unprimeable number.

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, 128787 + ... + 134983.

It is an arithmetic number, because the mean of its divisors is an integer number (66055185).

Almost surely, 2817291345 is an apocalyptic number.

It is an amenable number.

817291345 is a deficient number, since it is larger than the sum of its proper divisors (239591615).

817291345 is a wasteful number, since it uses less digits than its factorization.

817291345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8244.

The product of its digits is 60480, while the sum is 40.

The square root of 817291345 is about 28588.3078372960. The cubic root of 817291345 is about 934.9584260924.

The spelling of 817291345 in words is "eight hundred seventeen million, two hundred ninety-one thousand, three hundred forty-five".

Divisors: 1 5 13 65 2029 6197 10145 26377 30985 80561 131885 402805 12573713 62868565 163458269 817291345