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805273344 = 28321811931
BaseRepresentation
bin101111111111110…
…111111100000000
32002010021010100200
4233333313330000
53122122221334
6211523445200
725645465461
oct5777677400
92063233320
10805273344
11383612867
121a5826800
13caaab205
1478d3cd68
154aa69799
hex2fff7f00

805273344 has 108 divisors (see below), whose sum is σ = 2335838232. Its totient is φ = 266803200.

The previous prime is 805273327. The next prime is 805273349. The reversal of 805273344 is 443372508.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 805273299 and 805273308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805273349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 416059 + ... + 417989.

Almost surely, 2805273344 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 805273344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167919116).

805273344 is an abundant number, since it is smaller than the sum of its proper divisors (1530564888).

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

805273344 is a wasteful number, since it uses less digits than its factorization.

805273344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 805273344 is about 28377.3385644250. The cubic root of 805273344 is about 930.3530258781.

The spelling of 805273344 in words is "eight hundred five million, two hundred seventy-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 181 192 256 288 362 384 543 576 724 768 1086 1152 1448 1629 1931 2172 2304 2896 3258 3862 4344 5792 5793 6516 7724 8688 11584 11586 13032 15448 17376 17379 23168 23172 26064 30896 34752 34758 46336 46344 52128 61792 69504 69516 92688 104256 123584 139008 139032 185376 208512 247168 278064 349511 370752 417024 494336 556128 699022 741504 1048533 1112256 1398044 1483008 2097066 2224512 2796088 3145599 4194132 4449024 5592176 6291198 8388264 11184352 12582396 16776528 22368704 25164792 33553056 44737408 50329584 67106112 89474816 100659168 134212224 201318336 268424448 402636672 805273344