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2821434 = 2371131197
BaseRepresentation
bin1010110000110100111010
312022100021120
422300310322
51210241214
6140250110
732660520
oct12606472
95270246
102821434
111657870
12b40936
1377a2b5
14536310
153aaea9
hex2b0d3a

2821434 has 64 divisors (see below), whose sum is σ = 7299072. Its totient is φ = 705600.

The previous prime is 2821421. The next prime is 2821451. The reversal of 2821434 is 4341282.

2821434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable 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 31 ways as a sum of consecutive naturals, for example, 14224 + ... + 14420.

It is an arithmetic number, because the mean of its divisors is an integer number (114048).

22821434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2821434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3649536).

2821434 is an abundant number, since it is smaller than the sum of its proper divisors (4477638).

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

2821434 is a wasteful number, since it uses less digits than its factorization.

2821434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251.

The product of its digits is 1536, while the sum is 24.

The square root of 2821434 is about 1679.7124753957. The cubic root of 2821434 is about 141.3047079699.

The spelling of 2821434 in words is "two million, eight hundred twenty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 154 186 197 217 231 341 394 434 462 591 651 682 1023 1182 1302 1379 2046 2167 2387 2758 4137 4334 4774 6107 6501 7161 8274 12214 13002 14322 15169 18321 30338 36642 42749 45507 67177 85498 91014 128247 134354 201531 256494 403062 470239 940478 1410717 2821434