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8313388240 = 245293583357
BaseRepresentation
bin1111011111000010…
…00011110011010000
3210110101002212202011
413233201003303100
5114011211410430
63452532432304
7413004430333
oct75741036320
923411085664
108313388240
1135867666a3
121740178694
13a2644aa51
1458c16461a
15339ca122a
hex1ef843cd0

8313388240 has 40 divisors (see below), whose sum is σ = 19995137640. Its totient is φ = 3210686976.

The previous prime is 8313388163. The next prime is 8313388243. The reversal of 8313388240 is 428833138.

It can be written as a sum of positive squares in 4 ways, for example, as 248629824 + 8064758416 = 15768^2 + 89804^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×83133882402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 8313388193 and 8313388202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8313388243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1789359 + ... + 1793998.

It is an arithmetic number, because the mean of its divisors is an integer number (499878441).

Almost surely, 28313388240 is an apocalyptic number.

8313388240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8313388240 is an abundant number, since it is smaller than the sum of its proper divisors (11681749400).

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

8313388240 is a wasteful number, since it uses less digits than its factorization.

8313388240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583399 (or 3583393 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 8313388240 is about 91177.7836975653. The cubic root of 8313388240 is about 2025.7819052310.

The spelling of 8313388240 in words is "eight billion, three hundred thirteen million, three hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 3583357 7166714 14333428 17916785 28666856 35833570 57333712 71667140 103917353 143334280 207834706 286668560 415669412 519586765 831338824 1039173530 1662677648 2078347060 4156694120 8313388240