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85734349 = 1719332609
BaseRepresentation
bin1010001110000…
…11001111001101
312222022202102021
411013003033031
5133421444344
612301330141
72060505241
oct507031715
9188282367
1085734349
1144438538
1224866951
13149ba4ac
14b55a421
1577d7b84
hex51c33cd

85734349 has 8 divisors (see below), whose sum is σ = 90859320. Its totient is φ = 80618496.

The previous prime is 85734347. The next prime is 85734359. The reversal of 85734349 is 94343758.

It can be written as a sum of positive squares in 4 ways, for example, as 29214025 + 56520324 = 5405^2 + 7518^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85734349 - 21 = 85734347 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85734347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31557 + ... + 34165.

It is an arithmetic number, because the mean of its divisors is an integer number (11357415).

Almost surely, 285734349 is an apocalyptic number.

It is an amenable number.

85734349 is a deficient number, since it is larger than the sum of its proper divisors (5124971).

85734349 is a wasteful number, since it uses less digits than its factorization.

85734349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4559.

The product of its digits is 362880, while the sum is 43.

The square root of 85734349 is about 9259.2844755953. The cubic root of 85734349 is about 440.9455372262.

The spelling of 85734349 in words is "eighty-five million, seven hundred thirty-four thousand, three hundred forty-nine".

Divisors: 1 17 1933 2609 32861 44353 5043197 85734349