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2316240000 = 2732543217
BaseRepresentation
bin1000101000001111…
…0000010010000000
312222102102011221200
42022003300102000
514220424140000
61021501021200
7111253500204
oct21203602200
95872364850
102316240000
11a89503438
12547854800
132abb40019
1417d898b04
15d852d500
hex8a0f0480

2316240000 has 240 divisors, whose sum is σ = 8331450270. Its totient is φ = 617472000.

The previous prime is 2316239977. The next prime is 2316240013. The reversal of 2316240000 is 426132.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 260887104 + 2055352896 = 16152^2 + 45336^2 .

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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 718392 + ... + 721608.

Almost surely, 22316240000 is an apocalyptic number.

2316240000 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 2316240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4165725135).

2316240000 is an abundant number, since it is smaller than the sum of its proper divisors (6015210270).

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

2316240000 is an equidigital number, since it uses as much as digits as its factorization.

2316240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2316240000 is about 48127.3311123731. The cubic root of 2316240000 is about 1323.1056351329.

Adding to 2316240000 its reverse (426132), we get a palindrome (2316666132).

The spelling of 2316240000 in words is "two billion, three hundred sixteen million, two hundred forty thousand".