Search a number
-
+
2438040 = 2335111847
BaseRepresentation
bin1001010011001110011000
311120212100210
421103032120
51111004130
6124131120
726502663
oct11231630
94525323
102438040
111415810
12996aa0
13674937
144766da
153325b0
hex253398

2438040 has 64 divisors (see below), whose sum is σ = 7983360. Its totient is φ = 590720.

The previous prime is 2438027. The next prime is 2438071. The reversal of 2438040 is 408342.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2437998 and 2438016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397 + ... + 2243.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

22438040 is an apocalyptic number.

2438040 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 2438040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991680).

2438040 is an abundant number, since it is smaller than the sum of its proper divisors (5545320).

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

2438040 is a wasteful number, since it uses less digits than its factorization.

2438040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2438040 is about 1561.4224284286. The cubic root of 2438040 is about 134.5902528070.

The spelling of 2438040 in words is "two million, four hundred thirty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1847 3694 5541 7388 9235 11082 14776 18470 20317 22164 27705 36940 40634 44328 55410 60951 73880 81268 101585 110820 121902 162536 203170 221640 243804 304755 406340 487608 609510 812680 1219020 2438040