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441045660 = 2235114911361
BaseRepresentation
bin11010010010011…
…101001010011100
31010201220102220110
4122102131022130
51400401430120
6111433050020
713633553256
oct3222351234
91121812813
10441045660
11206a60150
12103856910
13704b3083
144280acd6
1528ac02e0
hex1a49d29c

441045660 has 96 divisors (see below), whose sum is σ = 1350929664. Its totient is φ = 106624000.

The previous prime is 441045629. The next prime is 441045679. The reversal of 441045660 is 66540144.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 323380 + ... + 324740.

It is an arithmetic number, because the mean of its divisors is an integer number (14072184).

Almost surely, 2441045660 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 441045660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675464832).

441045660 is an abundant number, since it is smaller than the sum of its proper divisors (909884004).

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

441045660 is a wasteful number, since it uses less digits than its factorization.

441045660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 441045660 is about 21001.0871147186. The cubic root of 441045660 is about 761.1925299245.

The spelling of 441045660 in words is "four hundred forty-one million, forty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 491 660 982 1361 1473 1964 2455 2722 2946 4083 4910 5401 5444 5892 6805 7365 8166 9820 10802 13610 14730 14971 16203 16332 20415 21604 27005 27220 29460 29942 32406 40830 44913 54010 59884 64812 74855 81015 81660 89826 108020 149710 162030 179652 224565 299420 324060 449130 668251 898260 1336502 2004753 2673004 3341255 4009506 6682510 7350761 8019012 10023765 13365020 14701522 20047530 22052283 29403044 36753805 40095060 44104566 73507610 88209132 110261415 147015220 220522830 441045660