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44318340 = 2235511829
BaseRepresentation
bin1010100100001…
…1111010000100
310002101121100000
42221003322010
542321141330
64221521300
71045461663
oct251037204
9102347300
1044318340
1123020030
1212a13230
139249291
145c58dda
153d56560
hex2a43e84

44318340 has 144 divisors (see below), whose sum is σ = 152268480. Its totient is φ = 10730880.

The previous prime is 44318333. The next prime is 44318353. The reversal of 44318340 is 4381344.

44318340 is a `hidden beast` number, since 4 + 4 + 318 + 340 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53046 + ... + 53874.

It is an arithmetic number, because the mean of its divisors is an integer number (1057420).

Almost surely, 244318340 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 44318340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76134240).

44318340 is an abundant number, since it is smaller than the sum of its proper divisors (107950140).

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

44318340 is a wasteful number, since it uses less digits than its factorization.

44318340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 44318340 is about 6657.2021150030. The cubic root of 44318340 is about 353.8841907877.

Adding to 44318340 its reverse (4381344), we get a palindrome (48699684).

The spelling of 44318340 in words is "forty-four million, three hundred eighteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 243 270 297 324 330 396 405 486 495 540 594 660 810 829 891 972 990 1188 1215 1485 1620 1658 1782 1980 2430 2487 2673 2970 3316 3564 4145 4455 4860 4974 5346 5940 7461 8290 8910 9119 9948 10692 12435 13365 14922 16580 17820 18238 22383 24870 26730 27357 29844 36476 37305 44766 45595 49740 53460 54714 67149 74610 82071 89532 91190 109428 111915 134298 136785 149220 164142 182380 201447 223830 246213 268596 273570 328284 335745 402894 410355 447660 492426 547140 671490 738639 805788 820710 984852 1007235 1231065 1342980 1477278 1641420 2014470 2215917 2462130 2954556 3693195 4028940 4431834 4924260 7386390 8863668 11079585 14772780 22159170 44318340