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444134232 = 23332389399
BaseRepresentation
bin11010011110001…
…111001101011000
31010221201100122000
4122132033031120
51402144243412
6112023201000
714002035663
oct3236171530
91127640560
10444134232
1120877a693
121048a6160
1371024b29
1442db26da
1528ed04dc
hex1a78f358

444134232 has 64 divisors (see below), whose sum is σ = 1287360000. Its totient is φ = 141606432.

The previous prime is 444134227. The next prime is 444134233. The reversal of 444134232 is 232431444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 444134196 and 444134205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444134233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39732 + ... + 49667.

It is an arithmetic number, because the mean of its divisors is an integer number (20115000).

Almost surely, 2444134232 is an apocalyptic number.

It is an amenable number.

444134232 is an abundant number, since it is smaller than the sum of its proper divisors (843225768).

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

444134232 is a wasteful number, since it uses less digits than its factorization.

444134232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89437 (or 89427 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 444134232 is about 21074.4924494043. The cubic root of 444134232 is about 762.9652347420.

Adding to 444134232 its reverse (232431444), we get a palindrome (676565676).

The spelling of 444134232 in words is "four hundred forty-four million, one hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 89399 178798 268197 357596 536394 715192 804591 1072788 1609182 2056177 2145576 2413773 3218364 4112354 4827546 6168531 6436728 8224708 9655092 12337062 16449416 18505593 19310184 24674124 37011186 49348248 55516779 74022372 111033558 148044744 222067116 444134232