Search a number
-
+
2340439920 = 243857313
BaseRepresentation
bin1000101110000000…
…0100011101110000
320001002221200000000
42023200010131300
514243123034140
61024123430000
7111666261000
oct21340043560
96032850000
102340439920
11aa1132175
12553985300
132b3b63cc0
14182b98000
15da70da30
hex8b804770

2340439920 has 720 divisors, whose sum is σ = 10250385600. Its totient is φ = 493807104.

The previous prime is 2340439903. The next prime is 2340439939. The reversal of 2340439920 is 299340432.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 180033834 + ... + 180033846.

Almost surely, 22340439920 is an apocalyptic number.

2340439920 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 2340439920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5125192800).

2340439920 is an abundant number, since it is smaller than the sum of its proper divisors (7909945680).

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

2340439920 is an frugal number, since it uses more digits than its factorization.

2340439920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2340439920 is about 48378.0933894671. The cubic root of 2340439920 is about 1327.6975862173.

The spelling of 2340439920 in words is "two billion, three hundred forty million, four hundred thirty-nine thousand, nine hundred twenty".