Search a number
-
+
445374666 = 23311799491
BaseRepresentation
bin11010100010111…
…110000011001010
31011001001101012000
4122202332003022
51403003442131
6112105531430
714015423262
oct3242760312
91131041160
10445374666
11209447640
121051a3b76
137136a609
14432167a2
1529177ce6
hex1a8be0ca

445374666 has 64 divisors (see below), whose sum is σ = 1093478400. Its totient is φ = 133239600.

The previous prime is 445374647. The next prime is 445374673. The reversal of 445374666 is 666473544.

It is a happy number.

It is a super-2 number, since 2×4453746662 = 396717186229223112, which contains 22 as substring.

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, 42181 + ... + 51671.

It is an arithmetic number, because the mean of its divisors is an integer number (17085600).

Almost surely, 2445374666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445374666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546739200).

445374666 is an abundant number, since it is smaller than the sum of its proper divisors (648103734).

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

445374666 is a wasteful number, since it uses less digits than its factorization.

445374666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9592 (or 9586 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The square root of 445374666 is about 21103.9016771781. The cubic root of 445374666 is about 763.6748762812.

It can be divided in two parts, 445374 and 666, that added together give a triangular number (446040 = T944).

The spelling of 445374666 in words is "four hundred forty-five million, three hundred seventy-four thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 79 99 158 198 237 297 474 594 711 869 1422 1738 2133 2607 4266 5214 7821 9491 15642 18982 23463 28473 46926 56946 85419 104401 170838 208802 256257 313203 512514 626406 749789 939609 1499578 1879218 2249367 2818827 4498734 5637654 6748101 8247679 13496202 16495358 20244303 24743037 40488606 49486074 74229111 148458222 222687333 445374666