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2340409344 = 21237213223
BaseRepresentation
bin1000101101111111…
…1101000000000000
320001002220010001120
42023133331000000
514243121044334
61024123032240
7111666102600
oct21337750000
96032803046
102340409344
11aa11111a9
1255396b680
132b3b53100
14182b8ac00
15da704949
hex8b7fd000

2340409344 has 468 divisors, whose sum is σ = 8202270816. Its totient is φ = 590413824.

The previous prime is 2340409343. The next prime is 2340409369. The reversal of 2340409344 is 4439040432.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340409343) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101756917 + ... + 101756939.

Almost surely, 22340409344 is an apocalyptic number.

2340409344 is a gapful number since it is divisible by the number (24) 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 2340409344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4101135408).

2340409344 is an abundant number, since it is smaller than the sum of its proper divisors (5861861472).

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

2340409344 is a wasteful number, since it uses less digits than its factorization.

2340409344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 2340409344 is about 48377.7773776349. Note that the first 3 decimals coincide. The cubic root of 2340409344 is about 1327.6918044185.

Adding to 2340409344 its reverse (4439040432), we get a palindrome (6779449776).

The spelling of 2340409344 in words is "two billion, three hundred forty million, four hundred nine thousand, three hundred forty-four".