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2312315040 = 253571394951
BaseRepresentation
bin1000100111010011…
…0010000010100000
312222011000202220210
42021310302002200
514213423040130
61021240534120
7111205232160
oct21164620240
95864022823
102312315040
11a87272572
12546481340
132ab097669
1417d1565a0
15d80055b0
hex89d320a0

2312315040 has 192 divisors, whose sum is σ = 8385914880. Its totient is φ = 524620800.

The previous prime is 2312315023. The next prime is 2312315041. The reversal of 2312315040 is 405132132.

It is a super-3 number, since 3×23123150403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2312314998 and 2312315016.

It is not an unprimeable number, because it can be changed into a prime (2312315041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464565 + ... + 469515.

It is an arithmetic number, because the mean of its divisors is an integer number (43676640).

Almost surely, 22312315040 is an apocalyptic number.

2312315040 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 2312315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192957440).

2312315040 is an abundant number, since it is smaller than the sum of its proper divisors (6073599840).

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

2312315040 is a wasteful number, since it uses less digits than its factorization.

2312315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5115 (or 5107 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2312315040 is about 48086.5369932167. The cubic root of 2312315040 is about 1322.3578610417.

Adding to 2312315040 its reverse (405132132), we get a palindrome (2717447172).

The spelling of 2312315040 in words is "two billion, three hundred twelve million, three hundred fifteen thousand, forty".