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2830344 = 2331171151
BaseRepresentation
bin1010110011000000001000
312022210111120
422303000020
51211032334
6140355240
733025506
oct12630010
95283446
102830344
111663530
12b45b20
1378137a
14539676
153ad949
hex2b3008

2830344 has 64 divisors (see below), whose sum is σ = 7879680. Its totient is φ = 840000.

The previous prime is 2830301. The next prime is 2830349. The reversal of 2830344 is 4430382.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2830349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18669 + ... + 18819.

It is an arithmetic number, because the mean of its divisors is an integer number (123120).

22830344 is an apocalyptic number.

2830344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2830344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3939840).

2830344 is an abundant number, since it is smaller than the sum of its proper divisors (5049336).

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

2830344 is a wasteful number, since it uses less digits than its factorization.

2830344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2830344 is about 1682.3626244065. The cubic root of 2830344 is about 141.4532969437.

The spelling of 2830344 in words is "two million, eight hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 132 142 151 213 264 284 302 426 453 568 604 781 852 906 1208 1562 1661 1704 1812 2343 3124 3322 3624 4686 4983 6248 6644 9372 9966 10721 13288 18744 19932 21442 32163 39864 42884 64326 85768 117931 128652 235862 257304 353793 471724 707586 943448 1415172 2830344