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823003345 = 53153100183
BaseRepresentation
bin110001000011100…
…000100011010001
32010100121220100101
4301003200203101
53141142101340
6213355452401
726252261443
oct6103404321
92110556311
10823003345
1139262265a
121ab757101
13101678338
147b436493
154c3bcc9a
hex310e08d1

823003345 has 16 divisors (see below), whose sum is σ = 1038707712. Its totient is φ = 625135680.

The previous prime is 823003327. The next prime is 823003351. The reversal of 823003345 is 543300328.

It is not a de Polignac number, because 823003345 - 213 = 822995153 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41877 + ... + 58306.

It is an arithmetic number, because the mean of its divisors is an integer number (64919232).

Almost surely, 2823003345 is an apocalyptic number.

It is an amenable number.

823003345 is a deficient number, since it is larger than the sum of its proper divisors (215704367).

823003345 is a wasteful number, since it uses less digits than its factorization.

823003345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100272.

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 823003345 is about 28688.0348751879. The cubic root of 823003345 is about 937.1314941619.

The spelling of 823003345 in words is "eight hundred twenty-three million, three thousand, three hundred forty-five".

Divisors: 1 5 31 53 155 265 1643 8215 100183 500915 3105673 5309699 15528365 26548495 164600669 823003345