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444348870 = 235712716661
BaseRepresentation
bin11010011111000…
…011100111000110
31010222010021001120
4122133003213012
51402223130440
6112031534410
714003621520
oct3237034706
91128107046
10444348870
11208906979
1210498a406
137109b734
144302aa10
1529023dd0
hex1a7c39c6

444348870 has 64 divisors (see below), whose sum is σ = 1228455936. Its totient is φ = 100759680.

The previous prime is 444348847. The next prime is 444348889. The reversal of 444348870 is 78843444.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 18340 + ... + 35000.

It is an arithmetic number, because the mean of its divisors is an integer number (19194624).

Almost surely, 2444348870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444348870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614227968).

444348870 is an abundant number, since it is smaller than the sum of its proper divisors (784107066).

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

444348870 is a wasteful number, since it uses less digits than its factorization.

444348870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16805.

The product of its (nonzero) digits is 344064, while the sum is 42.

The square root of 444348870 is about 21079.5841989352. The cubic root of 444348870 is about 763.0881217334.

The spelling of 444348870 in words is "four hundred forty-four million, three hundred forty-eight thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 127 210 254 381 635 762 889 1270 1778 1905 2667 3810 4445 5334 8890 13335 16661 26670 33322 49983 83305 99966 116627 166610 233254 249915 349881 499830 583135 699762 1166270 1749405 2115947 3498810 4231894 6347841 10579735 12695682 14811629 21159470 29623258 31739205 44434887 63478410 74058145 88869774 148116290 222174435 444348870