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306831 = 3719769
BaseRepresentation
bin1001010111010001111
3120120220010
41022322033
534304311
610324303
72415360
oct1127217
9516803
10306831
1119a588
12129693
13a9875
147db67
1560da6
hex4ae8f

306831 has 16 divisors (see below), whose sum is σ = 492800. Its totient is φ = 165888.

The previous prime is 306829. The next prime is 306847. The reversal of 306831 is 138603.

306831 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 306831 - 21 = 306829 is a prime.

It is a super-2 number, since 2×3068312 = 188290525122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

306831 is strictly pandigital in base 7.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 306798 and 306807.

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 306831.

It is not an unprimeable number, because it can be changed into a prime (306821) 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 15 ways as a sum of consecutive naturals, for example, 15 + ... + 783.

It is an arithmetic number, because the mean of its divisors is an integer number (30800).

2306831 is an apocalyptic number.

306831 is a deficient number, since it is larger than the sum of its proper divisors (185969).

306831 is a wasteful number, since it uses less digits than its factorization.

306831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 306831 is about 553.9232798863. The cubic root of 306831 is about 67.4475861973.

The spelling of 306831 in words is "three hundred six thousand, eight hundred thirty-one".

Divisors: 1 3 7 19 21 57 133 399 769 2307 5383 14611 16149 43833 102277 306831