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828029346 = 23379364129
BaseRepresentation
bin110001010110101…
…011100110100010
32010201002020201120
4301112223212202
53143433414341
6214055313110
726343063504
oct6126534642
92121066646
10828029346
11395445781
121b137b796
13102717bc1
147bd83d74
154ca62066
hex315ab9a2

828029346 has 16 divisors (see below), whose sum is σ = 1660432800. Its totient is φ = 275280768.

The previous prime is 828029341. The next prime is 828029351. The reversal of 828029346 is 643920828.

828029346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (828029341) and next prime (828029351).

It is a junction number, because it is equal to n+sod(n) for n = 828029298 and 828029307.

It is not an unprimeable number, because it can be changed into a prime (828029341) 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, 179791 + ... + 184338.

It is an arithmetic number, because the mean of its divisors is an integer number (103777050).

Almost surely, 2828029346 is an apocalyptic number.

828029346 is an abundant number, since it is smaller than the sum of its proper divisors (832403454).

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

828029346 is a wasteful number, since it uses less digits than its factorization.

828029346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364513.

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

The square root of 828029346 is about 28775.4990573578. The cubic root of 828029346 is about 939.0352808101.

The spelling of 828029346 in words is "eight hundred twenty-eight million, twenty-nine thousand, three hundred forty-six".

Divisors: 1 2 3 6 379 758 1137 2274 364129 728258 1092387 2184774 138004891 276009782 414014673 828029346