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444041343 = 3217191031483
BaseRepresentation
bin11010011101111…
…000100001111111
31010221112122012200
4122131320201333
51402133310333
6112021202543
714001201114
oct3235704177
91127478180
10444041343
11208716919
12104860453
1370cc1775
1442d8a90b
1528eb2c13
hex1a77887f

444041343 has 48 divisors (see below), whose sum is σ = 722292480. Its totient is φ = 261211392.

The previous prime is 444041293. The next prime is 444041371. The reversal of 444041343 is 343140444.

It is not a de Polignac number, because 444041343 - 224 = 427264127 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444041393) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298680 + ... + 300162.

It is an arithmetic number, because the mean of its divisors is an integer number (15047760).

Almost surely, 2444041343 is an apocalyptic number.

444041343 is a deficient number, since it is larger than the sum of its proper divisors (278251137).

444041343 is a wasteful number, since it uses less digits than its factorization.

444041343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1625 counting only the distinct ones).

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

The square root of 444041343 is about 21072.2885088450. The cubic root of 444041343 is about 762.9120405993.

Adding to 444041343 its reverse (343140444), we get a palindrome (787181787).

The spelling of 444041343 in words is "four hundred forty-four million, forty-one thousand, three hundred forty-three".

Divisors: 1 3 9 17 19 51 57 103 153 171 309 323 927 969 1483 1751 1957 2907 4449 5253 5871 13347 15759 17613 25211 28177 33269 75633 84531 99807 152749 226899 253593 299421 458247 479009 1374741 1437027 2596733 2902231 4311081 7790199 8706693 23370597 26120079 49337927 148013781 444041343