Search a number
-
+
2340420000 = 25354192053
BaseRepresentation
bin1000101101111111…
…1111100110100000
320001002220122200020
42023133333212200
514243121420000
61024123153440
7111666145632
oct21337774640
96032818606
102340420000
11aa1119206
12553975880
132b3b57c09
14182b90a52
15da707ba0
hex8b7ff9a0

2340420000 has 240 divisors, whose sum is σ = 8085036960. Its totient is φ = 590976000.

The previous prime is 2340419999. The next prime is 2340420007. The reversal of 2340420000 is 240432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2340420007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1138974 + ... + 1141026.

It is an arithmetic number, because the mean of its divisors is an integer number (33687654).

Almost surely, 22340420000 is an apocalyptic number.

2340420000 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 2340420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4042518480).

2340420000 is an abundant number, since it is smaller than the sum of its proper divisors (5744616960).

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

2340420000 is a wasteful number, since it uses less digits than its factorization.

2340420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2340420000 is about 48377.8875107213. The cubic root of 2340420000 is about 1327.6938194311.

Adding to 2340420000 its reverse (240432), we get a palindrome (2340660432).

The spelling of 2340420000 in words is "two billion, three hundred forty million, four hundred twenty thousand".