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829334 = 211223149
BaseRepresentation
bin11001010011110010110
31120010122002
43022132112
5203014314
625435302
710022612
oct3123626
91503562
10829334
11517100
1233bb32
1323063c
14178342
15115ade
hexca796

829334 has 24 divisors (see below), whose sum is σ = 1436400. Its totient is φ = 358160.

The previous prime is 829319. The next prime is 829349. The reversal of 829334 is 433928.

It is an interprime number because it is at equal distance from previous prime (829319) and next prime (829349).

It is a Curzon number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 829297 and 829306.

It is a congruent number.

It is an unprimeable number.

829334 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 5492 + ... + 5640.

It is an arithmetic number, because the mean of its divisors is an integer number (59850).

2829334 is an apocalyptic number.

829334 is a deficient number, since it is larger than the sum of its proper divisors (607066).

829334 is a wasteful number, since it uses less digits than its factorization.

829334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 185 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 829334 is about 910.6777695760. The cubic root of 829334 is about 93.9528207487.

The spelling of 829334 in words is "eight hundred twenty-nine thousand, three hundred thirty-four".

Divisors: 1 2 11 22 23 46 121 149 242 253 298 506 1639 2783 3278 3427 5566 6854 18029 36058 37697 75394 414667 829334