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444130232 = 237131035923
BaseRepresentation
bin11010011110001…
…110001110111000
31010221201011010212
4122132032032320
51402144131412
6112023130252
714002021220
oct3236161670
91127634125
10444130232
11208777687
121048a3988
1371023070
1442db1080
1528ece222
hex1a78e3b8

444130232 has 64 divisors (see below), whose sum is σ = 1035041280. Its totient is φ = 173964672.

The previous prime is 444130189. The next prime is 444130241. The reversal of 444130232 is 232031444.

It is a junction number, because it is equal to n+sod(n) for n = 444130198 and 444130207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72023 + ... + 77945.

It is an arithmetic number, because the mean of its divisors is an integer number (16172520).

Almost surely, 2444130232 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 444130232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517520640).

444130232 is an abundant number, since it is smaller than the sum of its proper divisors (590911048).

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

444130232 is a wasteful number, since it uses less digits than its factorization.

444130232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6052 (or 6048 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 444130232 is about 21074.3975477355. The cubic root of 444130232 is about 762.9629442407.

Adding to 444130232 its reverse (232031444), we get a palindrome (676161676).

The spelling of 444130232 in words is "four hundred forty-four million, one hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 103 104 182 206 364 412 721 728 824 1339 1442 2678 2884 5356 5768 5923 9373 10712 11846 18746 23692 37492 41461 47384 74984 76999 82922 153998 165844 307996 331688 538993 610069 615992 1077986 1220138 2155972 2440276 4270483 4311944 4880552 7930897 8540966 15861794 17081932 31723588 34163864 55516279 63447176 111032558 222065116 444130232