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441706940 = 225414773157
BaseRepresentation
bin11010010100111…
…110100110111100
31010210011001000022
4122110332212330
51401034110230
6111455151312
713642306223
oct3224764674
91123131008
10441706940
11207371a64
12103b15538
137068506c
144293dcba
1528ba11e5
hex1a53e9bc

441706940 has 96 divisors (see below), whose sum is σ = 989985024. Its totient is φ = 165335040.

The previous prime is 441706939. The next prime is 441706961. The reversal of 441706940 is 49607144.

It is a self number, because there is not a number n which added to its sum of digits gives 441706940.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2813342 + ... + 2813498.

It is an arithmetic number, because the mean of its divisors is an integer number (10312344).

Almost surely, 2441706940 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 441706940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494992512).

441706940 is an abundant number, since it is smaller than the sum of its proper divisors (548278084).

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

441706940 is a wasteful number, since it uses less digits than its factorization.

441706940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 441706940 is about 21016.8251646151. The cubic root of 441706940 is about 761.5727702489.

The spelling of 441706940 in words is "four hundred forty-one million, seven hundred six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 41 47 73 82 94 146 157 164 188 205 235 292 314 365 410 470 628 730 785 820 940 1460 1570 1927 2993 3140 3431 3854 5986 6437 6862 7379 7708 9635 11461 11972 12874 13724 14758 14965 17155 19270 22922 25748 29516 29930 32185 34310 36895 38540 45844 57305 59860 64370 68620 73790 114610 128740 140671 147580 229220 281342 302539 469901 538667 562684 605078 703355 939802 1077334 1210156 1406710 1512695 1879604 2154668 2349505 2693335 2813420 3025390 4699010 5386670 6050780 9398020 10773340 22085347 44170694 88341388 110426735 220853470 441706940