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2315485440 = 2834523971
BaseRepresentation
bin1000101000000011…
…1000000100000000
312222100222211220000
42022000320010000
514220231013230
61021432520000
7111244205262
oct21200700400
95870884800
102315485440
11a89038534
12547550000
132ab937738
1417d73db32
15d842eb60
hex8a038100

2315485440 has 360 divisors, whose sum is σ = 8654361408. Its totient is φ = 590008320.

The previous prime is 2315485411. The next prime is 2315485451. The reversal of 2315485440 is 445845132.

It is a happy number.

2315485440 is a `hidden beast` number, since 23 + 1 + 548 + 54 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×23154854402 = 10722945645703987200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2315485395 and 2315485404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2384155 + ... + 2385125.

Almost surely, 22315485440 is an apocalyptic number.

2315485440 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 2315485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327180704).

2315485440 is an abundant number, since it is smaller than the sum of its proper divisors (6338875968).

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

2315485440 is an equidigital number, since it uses as much as digits as its factorization.

2315485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2315485440 is about 48119.4912691313. The cubic root of 2315485440 is about 1322.9619437740.

The spelling of 2315485440 in words is "two billion, three hundred fifteen million, four hundred eighty-five thousand, four hundred forty".