Search a number
-
+
2343085056 = 21034134153
BaseRepresentation
bin1000101110101000…
…1010010000000000
320001021221001110000
42023222022100000
514244312210211
61024300240000
7112030615524
oct21352122000
96037831400
102343085056
11aa2679534
12554840000
132b457bc80
14183285d84
15daa82656
hex8ba8a400

2343085056 has 440 divisors, whose sum is σ = 7864557624. Its totient is φ = 690094080.

The previous prime is 2343085039. The next prime is 2343085067. The reversal of 2343085056 is 6505803432.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2073600 + 2341011456 = 1440^2 + 48384^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2343085056.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44209126 + ... + 44209178.

Almost surely, 22343085056 is an apocalyptic number.

2343085056 is a gapful number since it is divisible by the number (26) 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 2343085056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932278812).

2343085056 is an abundant number, since it is smaller than the sum of its proper divisors (5521472568).

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

2343085056 is a wasteful number, since it uses less digits than its factorization.

2343085056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2343085056 is about 48405.4238283273. The cubic root of 2343085056 is about 1328.1975803184.

Adding to 2343085056 its reverse (6505803432), we get a palindrome (8848888488).

The spelling of 2343085056 in words is "two billion, three hundred forty-three million, eighty-five thousand, fifty-six".