Search a number
-
+
2353040 = 24567439
BaseRepresentation
bin1000111110011110010000
311102112202122
420332132100
51100244130
6122233412
726000114
oct10763620
94375678
102353040
111367968
12955868
13645041
14453744
153172e5
hex23e790

2353040 has 40 divisors (see below), whose sum is σ = 5565120. Its totient is φ = 925056.

The previous prime is 2353027. The next prime is 2353049. The reversal of 2353040 is 403532.

2353040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2353049) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5141 + ... + 5579.

It is an arithmetic number, because the mean of its divisors is an integer number (139128).

22353040 is an apocalyptic number.

2353040 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 2353040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782560).

2353040 is an abundant number, since it is smaller than the sum of its proper divisors (3212080).

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

2353040 is a wasteful number, since it uses less digits than its factorization.

2353040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 2353040 is about 1533.9621898860. The cubic root of 2353040 is about 133.0075937398.

Adding to 2353040 its reverse (403532), we get a palindrome (2756572).

The spelling of 2353040 in words is "two million, three hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 439 536 670 878 1072 1340 1756 2195 2680 3512 4390 5360 7024 8780 17560 29413 35120 58826 117652 147065 235304 294130 470608 588260 1176520 2353040