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40317 = 389151
BaseRepresentation
bin1001110101111101
32001022020
421311331
52242232
6510353
7225354
oct116575
961266
1040317
1128322
121b3b9
1315474
141099b
15be2c
hex9d7d

40317 has 8 divisors (see below), whose sum is σ = 54720. Its totient is φ = 26400.

The previous prime is 40289. The next prime is 40343. The reversal of 40317 is 71304.

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

It is not a de Polignac number, because 40317 - 26 = 40253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40296 and 40305.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40317.

It is not an unprimeable number, because it can be changed into a prime (40357) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 192 + ... + 342.

It is an arithmetic number, because the mean of its divisors is an integer number (6840).

240317 is an apocalyptic number.

It is an amenable number.

40317 is a deficient number, since it is larger than the sum of its proper divisors (14403).

40317 is a wasteful number, since it uses less digits than its factorization.

40317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243.

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 40317 is about 200.7909360504. The cubic root of 40317 is about 34.2896250499.

Adding to 40317 its product of nonzero digits (84), we get a square (40401 = 2012).

The spelling of 40317 in words is "forty thousand, three hundred seventeen", and thus it is an iban number.

Divisors: 1 3 89 151 267 453 13439 40317