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812017440 = 253351319761
BaseRepresentation
bin110000011001100…
…110011100100000
32002120221202112000
4300121212130200
53130334024230
6212324204000
726060014533
oct6031463440
92076852460
10812017440
113873a97a3
121a7b39600
13cc2ccac0
1479bb6a1a
154b44cb60
hex30666720

812017440 has 384 divisors, whose sum is σ = 3226003200. Its totient is φ = 189112320.

The previous prime is 812017403. The next prime is 812017463. The reversal of 812017440 is 44710218.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1066660 + ... + 1067420.

It is an arithmetic number, because the mean of its divisors is an integer number (8401050).

Almost surely, 2812017440 is an apocalyptic number.

812017440 is a gapful number since it is divisible by the number (80) 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 812017440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613001600).

812017440 is an abundant number, since it is smaller than the sum of its proper divisors (2413985760).

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

812017440 is a wasteful number, since it uses less digits than its factorization.

812017440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 812017440 is about 28495.9197079161. The cubic root of 812017440 is about 932.9430182009.

Adding to 812017440 its reverse (44710218), we get a palindrome (856727658).

The spelling of 812017440 in words is "eight hundred twelve million, seventeen thousand, four hundred forty".