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2384340 = 223572811
BaseRepresentation
bin1001000110000111010100
311111010200220
421012013110
51102244330
6123034340
726160300
oct11060724
94433626
102384340
111389432
1296b9b0
1365636a
14460d00
15321710
hex2461d4

2384340 has 72 divisors (see below), whose sum is σ = 7775712. Its totient is φ = 544320.

The previous prime is 2384339. The next prime is 2384363. The reversal of 2384340 is 434832.

2384340 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2384340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2535 + ... + 3345.

It is an arithmetic number, because the mean of its divisors is an integer number (107996).

22384340 is an apocalyptic number.

2384340 is a gapful number since it is divisible by the number (20) 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 2384340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3887856).

2384340 is an abundant number, since it is smaller than the sum of its proper divisors (5391372).

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

2384340 is a wasteful number, since it uses less digits than its factorization.

2384340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 828 counting only the distinct ones).

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

The square root of 2384340 is about 1544.1308234732. The cubic root of 2384340 is about 133.5947510099.

The spelling of 2384340 in words is "two million, three hundred eighty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 811 980 1470 1622 2433 2940 3244 4055 4866 5677 8110 9732 11354 12165 16220 17031 22708 24330 28385 34062 39739 48660 56770 68124 79478 85155 113540 119217 158956 170310 198695 238434 340620 397390 476868 596085 794780 1192170 2384340