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829438314 = 23138239719
BaseRepresentation
bin110001011100000…
…011100101101010
32010210201211110120
4301130003211222
53144314011224
6214145424110
726361052335
oct6134034552
92123654416
10829438314
11396218311
121b193b036
13102abc303
147c22d61c
154cc3e779
hex3170396a

829438314 has 8 divisors (see below), whose sum is σ = 1658876640. Its totient is φ = 276479436.

The previous prime is 829438307. The next prime is 829438321. The reversal of 829438314 is 413834928.

It is an interprime number because it is at equal distance from previous prime (829438307) and next prime (829438321).

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

829438314 is an admirable number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69119854 + ... + 69119865.

It is an arithmetic number, because the mean of its divisors is an integer number (207359580).

Almost surely, 2829438314 is an apocalyptic number.

829438314 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

829438314 is a wasteful number, since it uses less digits than its factorization.

829438314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138239724.

The product of its digits is 165888, while the sum is 42.

The square root of 829438314 is about 28799.9707291518. The cubic root of 829438314 is about 939.5675972610.

The spelling of 829438314 in words is "eight hundred twenty-nine million, four hundred thirty-eight thousand, three hundred fourteen".

Divisors: 1 2 3 6 138239719 276479438 414719157 829438314