Search a number
-
+
2310321440 = 255737197283
BaseRepresentation
bin1000100110110100…
…1011010100100000
312222000021111012202
42021231023110200
514212420241230
61021130112332
7111152260010
oct21155132440
95860244182
102310321440
11a86130769
1254587b6a8
132aa84a10b
1417cb97c40
15d7c5ea45
hex89b4b520

2310321440 has 192 divisors, whose sum is σ = 6461731584. Its totient is φ = 764080128.

The previous prime is 2310321421. The next prime is 2310321479. The reversal of 2310321440 is 441230132.

It is a super-2 number, since 2×23103214402 = 10675170312247347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8163539 + ... + 8163821.

It is an arithmetic number, because the mean of its divisors is an integer number (33654852).

Almost surely, 22310321440 is an apocalyptic number.

2310321440 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 2310321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230865792).

2310321440 is an abundant number, since it is smaller than the sum of its proper divisors (4151410144).

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

2310321440 is a wasteful number, since it uses less digits than its factorization.

2310321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2310321440 is about 48065.8032284908. The cubic root of 2310321440 is about 1321.9777209975.

Adding to 2310321440 its reverse (441230132), we get a palindrome (2751551572).

The spelling of 2310321440 in words is "two billion, three hundred ten million, three hundred twenty-one thousand, four hundred forty".