Search a number
-
+
2321440 = 255111319
BaseRepresentation
bin1000110110110000100000
311100221102021
420312300200
51043241230
6121431224
725506022
oct10666040
94327367
102321440
111346150
1293b514
13633844
14446012
1530cc7a
hex236c20

2321440 has 48 divisors (see below), whose sum is σ = 5987520. Its totient is φ = 843520.

The previous prime is 2321399. The next prime is 2321443. The reversal of 2321440 is 441232.

2321440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2321443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1101 + ... + 2419.

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

22321440 is an apocalyptic number.

2321440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2321440 is the 880-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993760).

2321440 is an abundant number, since it is smaller than the sum of its proper divisors (3666080).

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

2321440 is a wasteful number, since it uses less digits than its factorization.

2321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2321440 is about 1523.6272510033. The cubic root of 2321440 is about 132.4095026996.

Adding to 2321440 its reverse (441232), we get a palindrome (2762672).

The spelling of 2321440 in words is "two million, three hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1319 1760 2638 5276 6595 10552 13190 14509 21104 26380 29018 42208 52760 58036 72545 105520 116072 145090 211040 232144 290180 464288 580360 1160720 2321440