Search a number
-
+
2338960 = 245132173
BaseRepresentation
bin1000111011000010010000
311101211110011
420323002100
51044321320
6122044304
725611061
oct10730220
94354404
102338960
111358328
12949694
1363b800
1444c568
1531305a
hex23b090

2338960 has 60 divisors (see below), whose sum is σ = 5922612. Its totient is φ = 858624.

The previous prime is 2338951. The next prime is 2338969. The reversal of 2338960 is 698332.

It is a happy number.

2338960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2338951) and next prime (2338969).

It can be written as a sum of positive squares in 6 ways, for example, as 112896 + 2226064 = 336^2 + 1492^2 .

It is not an unprimeable number, because it can be changed into a prime (2338969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13434 + ... + 13606.

22338960 is an apocalyptic number.

2338960 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 2338960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961306).

2338960 is an abundant number, since it is smaller than the sum of its proper divisors (3583652).

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

2338960 is a wasteful number, since it uses less digits than its factorization.

2338960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 2338960 is about 1529.3658816647. The cubic root of 2338960 is about 132.7417681502.

It can be divided in two parts, 23 and 38960, that added together give a palindrome (38983).

The spelling of 2338960 in words is "two million, three hundred thirty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 173 208 260 338 346 520 676 692 845 865 1040 1352 1384 1690 1730 2249 2704 2768 3380 3460 4498 6760 6920 8996 11245 13520 13840 17992 22490 29237 35984 44980 58474 89960 116948 146185 179920 233896 292370 467792 584740 1169480 2338960