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829345014 = 23315358241
BaseRepresentation
bin110001011011101…
…100110011110110
32010210120002111000
4301123230303312
53144303020024
6214143424130
726360213331
oct6133546366
92123502430
10829345014
11396164203
121b18b5046
13102a889c4
147c207618
154cc21cc9
hex316eccf6

829345014 has 16 divisors (see below), whose sum is σ = 1842989040. Its totient is φ = 276448320.

The previous prime is 829345009. The next prime is 829345019. The reversal of 829345014 is 410543928.

It is an interprime number because it is at equal distance from previous prime (829345009) and next prime (829345019).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 829345014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829345019) 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, 7679067 + ... + 7679174.

It is an arithmetic number, because the mean of its divisors is an integer number (115186815).

Almost surely, 2829345014 is an apocalyptic number.

829345014 is an abundant number, since it is smaller than the sum of its proper divisors (1013644026).

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

829345014 is a wasteful number, since it uses less digits than its factorization.

829345014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15358252 (or 15358246 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 829345014 is about 28798.3508902854. The cubic root of 829345014 is about 939.5323666146.

The spelling of 829345014 in words is "eight hundred twenty-nine million, three hundred forty-five thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 15358241 30716482 46074723 92149446 138224169 276448338 414672507 829345014