Search a number
-
+
805410312 = 233719924091
BaseRepresentation
bin110000000000011…
…001011000001000
32002010112002020120
4300000121120020
53122141112222
6211530423240
725646606010
oct6000313010
92063462216
10805410312
113836a6763
121a5891b20
13cab28665
1478d76c40
154aa9515c
hex30019608

805410312 has 64 divisors (see below), whose sum is σ = 2312832000. Its totient is φ = 228951360.

The previous prime is 805410299. The next prime is 805410367. The reversal of 805410312 is 213014508.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 21387 + ... + 45477.

It is an arithmetic number, because the mean of its divisors is an integer number (36138000).

Almost surely, 2805410312 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 805410312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156416000).

805410312 is an abundant number, since it is smaller than the sum of its proper divisors (1507421688).

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

805410312 is a wasteful number, since it uses less digits than its factorization.

805410312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24306 (or 24302 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 805410312 is about 28379.7517959548. The cubic root of 805410312 is about 930.4057704400.

The spelling of 805410312 in words is "eight hundred five million, four hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 199 398 597 796 1194 1393 1592 2388 2786 4179 4776 5572 8358 11144 16716 24091 33432 48182 72273 96364 144546 168637 192728 289092 337274 505911 578184 674548 1011822 1349096 2023644 4047288 4794109 9588218 14382327 19176436 28764654 33558763 38352872 57529308 67117526 100676289 115058616 134235052 201352578 268470104 402705156 805410312