[go: up one dir, main page]

Search a number
-
+
844030180 = 225731439443
BaseRepresentation
bin110010010011101…
…110000011100100
32011211012011202001
4302103232003210
53212032431210
6215430255044
726626065250
oct6223560344
92154164661
10844030180
113a3484404
121b67b7484
13105b2ac56
148014b260
154e17303a
hex324ee0e4

844030180 has 96 divisors (see below), whose sum is σ = 2100510720. Its totient is φ = 278778240.

The previous prime is 844030177. The next prime is 844030193. The reversal of 844030180 is 81030448.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1905039 + ... + 1905481.

It is an arithmetic number, because the mean of its divisors is an integer number (21880320).

Almost surely, 2844030180 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 844030180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050255360).

844030180 is an abundant number, since it is smaller than the sum of its proper divisors (1256480540).

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

844030180 is a wasteful number, since it uses less digits than its factorization.

844030180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 844030180 is about 29052.1975072455. The cubic root of 844030180 is about 945.0453698251.

The spelling of 844030180 in words is "eight hundred forty-four million, thirty thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 439 443 620 868 878 886 1085 1756 1772 2170 2195 2215 3073 3101 4340 4390 4430 6146 6202 8780 8860 12292 12404 13609 13733 15365 15505 27218 27466 30730 31010 54436 54932 61460 62020 68045 68665 95263 96131 136090 137330 190526 192262 194477 272180 274660 381052 384524 388954 476315 480655 777908 952630 961310 972385 1361339 1905260 1922620 1944770 2722678 3889540 5445356 6028787 6806695 12057574 13613390 24115148 27226780 30143935 42201509 60287870 84403018 120575740 168806036 211007545 422015090 844030180