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2316263040 = 27345713491
BaseRepresentation
bin1000101000001111…
…0101111010000000
312222102110100120000
42022003311322000
514220430404130
61021501320000
7111253624320
oct21203657200
95872410500
102316263040
11a89519783
12547866000
132abb4a660
1417d8a3280
15d8535260
hex8a0f5e80

2316263040 has 640 divisors, whose sum is σ = 10201403520. Its totient is φ = 487710720.

The previous prime is 2316263029. The next prime is 2316263051. The reversal of 2316263040 is 403626132.

2316263040 is a `hidden beast` number, since 2 + 3 + 1 + 626 + 30 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2316263029) and next prime (2316263051).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2316262995 and 2316263013.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 4717195 + ... + 4717685.

It is an arithmetic number, because the mean of its divisors is an integer number (15939693).

Almost surely, 22316263040 is an apocalyptic number.

2316263040 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 2316263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5100701760).

2316263040 is an abundant number, since it is smaller than the sum of its proper divisors (7885140480).

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

2316263040 is a wasteful number, since it uses less digits than its factorization.

2316263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2316263040 is about 48127.5704768067. The cubic root of 2316263040 is about 1323.1100221643.

Adding to 2316263040 its reverse (403626132), we get a palindrome (2719889172).

It can be divided in two parts, 2316 and 263040, that added together give a triangular number (265356 = T728).

The spelling of 2316263040 in words is "two billion, three hundred sixteen million, two hundred sixty-three thousand, forty".