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444535344 = 243311139673
BaseRepresentation
bin11010011111110…
…001001000110000
31010222110201212000
4122133301020300
51402300112334
6112035534000
714005326261
oct3237611060
91128421760
10444535344
11208a23a90
12104a5a300
1371135586
1443078968
152905e299
hex1a7f1230

444535344 has 160 divisors (see below), whose sum is σ = 1404076800. Its totient is φ = 133539840.

The previous prime is 444535339. The next prime is 444535349. The reversal of 444535344 is 443535444.

It is an interprime number because it is at equal distance from previous prime (444535339) and next prime (444535349).

It is a super-2 number, since 2×4445353442 = 395223344130396672, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 444535299 and 444535308.

It is not an unprimeable number, because it can be changed into a prime (444535349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 660192 + ... + 660864.

It is an arithmetic number, because the mean of its divisors is an integer number (8775480).

Almost surely, 2444535344 is an apocalyptic number.

444535344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444535344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702038400).

444535344 is an abundant number, since it is smaller than the sum of its proper divisors (959541456).

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

444535344 is a wasteful number, since it uses less digits than its factorization.

444535344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 828 counting only the distinct ones).

The product of its digits is 230400, while the sum is 36.

The square root of 444535344 is about 21084.0068298225. The cubic root of 444535344 is about 763.1948518303.

The spelling of 444535344 in words is "four hundred forty-four million, five hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 139 144 176 198 216 264 278 297 396 417 432 528 556 594 673 792 834 1112 1188 1251 1346 1529 1584 1668 2019 2224 2376 2502 2692 3058 3336 3753 4038 4587 4752 5004 5384 6057 6116 6672 7403 7506 8076 9174 10008 10768 12114 12232 13761 14806 15012 16152 18171 18348 20016 22209 24228 24464 27522 29612 30024 32304 36342 36696 41283 44418 48456 55044 59224 60048 66627 72684 73392 82566 88836 93547 96912 110088 118448 133254 145368 165132 177672 187094 199881 220176 266508 280641 290736 330264 355344 374188 399762 533016 561282 660528 748376 799524 841923 1029017 1066032 1122564 1496752 1599048 1683846 2058034 2245128 2525769 3087051 3198096 3367692 4116068 4490256 5051538 6174102 6735384 8232136 9261153 10103076 12348204 13470768 16464272 18522306 20206152 24696408 27783459 37044612 40412304 49392816 55566918 74089224 111133836 148178448 222267672 444535344