Search a number
-
+
23340 = 2235389
BaseRepresentation
bin101101100101100
31012000110
411230230
51221330
6300020
7125022
oct55454
935013
1023340
1116599
1211610
13a815
148712
156db0
hex5b2c

23340 has 24 divisors (see below), whose sum is σ = 65520. Its totient is φ = 6208.

The previous prime is 23339. The next prime is 23357. The reversal of 23340 is 4332.

Adding to 23340 its reverse (4332), we get a palindrome (27672).

It can be divided in two parts, 23 and 340, that added together give a palindrome (363).

23340 is digitally balanced in base 4, 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 (12).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135 + ... + 254.

It is an arithmetic number, because the mean of its divisors is an integer number (2730).

223340 is an apocalyptic number.

23340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23340 is an abundant number, since it is smaller than the sum of its proper divisors (42180).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32760).

23340 is a wasteful number, since it uses less digits than its factorization.

23340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 23340 is about 152.7743433957. The cubic root of 23340 is about 28.5781174815.

The spelling of 23340 in words is "twenty-three thousand, three hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 389 778 1167 1556 1945 2334 3890 4668 5835 7780 11670 23340