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2842434 = 2327171327
BaseRepresentation
bin1010110101111101000010
312100102002100
422311331002
51211424214
6140531230
733105660
oct12657502
95312070
102842434
111671621
12b50b16
13786a1a
1453dc30
153b2309
hex2b5f42

2842434 has 48 divisors (see below), whose sum is σ = 7458048. Its totient is φ = 763776.

The previous prime is 2842403. The next prime is 2842439. The reversal of 2842434 is 4342482.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2842398 and 2842407.

It is not an unprimeable number, because it can be changed into a prime (2842439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1479 + ... + 2805.

It is an arithmetic number, because the mean of its divisors is an integer number (155376).

22842434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2842434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729024).

2842434 is an abundant number, since it is smaller than the sum of its proper divisors (4615614).

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

2842434 is a wasteful number, since it uses less digits than its factorization.

2842434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1356 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2842434 is about 1685.9519566109. The cubic root of 2842434 is about 141.6544198564.

The spelling of 2842434 in words is "two million, eight hundred forty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 1327 2142 2654 3981 7962 9289 11943 18578 22559 23886 27867 45118 55734 67677 83601 135354 157913 167202 203031 315826 406062 473739 947478 1421217 2842434