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82329345 = 335787121
BaseRepresentation
bin1001110100000…
…11111100000001
312201220202122000
410322003330001
5132034014340
612100334213
72016534150
oct472037401
9181822560
1082329345
114252228a
12236a4369
13140976b7
14ad11597
157363d30
hex4e83f01

82329345 has 32 divisors (see below), whose sum is σ = 167274240. Its totient is φ = 37635840.

The previous prime is 82329343. The next prime is 82329349. The reversal of 82329345 is 54392328.

It is not a de Polignac number, because 82329345 - 21 = 82329343 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82329341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42616 + ... + 44505.

It is an arithmetic number, because the mean of its divisors is an integer number (5227320).

Almost surely, 282329345 is an apocalyptic number.

It is an amenable number.

82329345 is an abundant number, since it is smaller than the sum of its proper divisors (84944895).

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

82329345 is a wasteful number, since it uses less digits than its factorization.

82329345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87142 (or 87136 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 82329345 is about 9073.5519505869. The cubic root of 82329345 is about 435.0290111448.

The spelling of 82329345 in words is "eighty-two million, three hundred twenty-nine thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 87121 261363 435605 609847 784089 1306815 1829541 2352267 3049235 3920445 5488623 9147705 11761335 16465869 27443115 82329345