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805378340 = 225137342433
BaseRepresentation
bin110000000000010…
…001100100100100
32002010110110101102
4300000101210210
53122134101330
6211530015232
725646413544
oct6000214444
92063413342
10805378340
11383684738
121a5877518
13cab16c40
1478d69324
154aa8a945
hex30011924

805378340 has 48 divisors (see below), whose sum is σ = 1846388208. Its totient is φ = 293289984.

The previous prime is 805378339. The next prime is 805378363. The reversal of 805378340 is 43873508.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 30758116 + 774620224 = 5546^2 + 27832^2 .

It is a junction number, because it is equal to n+sod(n) for n = 805378294 and 805378303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2237 + ... + 40196.

It is an arithmetic number, because the mean of its divisors is an integer number (38466421).

Almost surely, 2805378340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 805378340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923194104).

805378340 is an abundant number, since it is smaller than the sum of its proper divisors (1041009868).

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

805378340 is a wasteful number, since it uses less digits than its factorization.

805378340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42528 (or 42526 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 805378340 is about 28379.1885014353. The cubic root of 805378340 is about 930.3934589815.

The spelling of 805378340 in words is "eight hundred five million, three hundred seventy-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 260 292 365 730 949 1460 1898 3796 4745 9490 18980 42433 84866 169732 212165 424330 551629 848660 1103258 2206516 2758145 3097609 5516290 6195218 11032580 12390436 15488045 30976090 40268917 61952180 80537834 161075668 201344585 402689170 805378340