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44342100 = 223352111493
BaseRepresentation
bin1010100100100…
…1101101010100
310002102210221000
42221021231110
542322421400
64222223300
71045621155
oct251115524
9102383830
1044342100
1123036970
1212a24b30
13925703a
145c6392c
153d5d600
hex2a49b54

44342100 has 144 divisors (see below), whose sum is σ = 155615040. Its totient is φ = 10742400.

The previous prime is 44342093. The next prime is 44342101. The reversal of 44342100 is 124344.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44342101) 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, 28954 + ... + 30446.

It is an arithmetic number, because the mean of its divisors is an integer number (1080660).

Almost surely, 244342100 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 44342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77807520).

44342100 is an abundant number, since it is smaller than the sum of its proper divisors (111272940).

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

44342100 is a wasteful number, since it uses less digits than its factorization.

44342100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 44342100 is about 6658.9864093569. The cubic root of 44342100 is about 353.9474210907.

Adding to 44342100 its reverse (124344), we get a palindrome (44466444).

The spelling of 44342100 in words is "forty-four million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 27 30 33 36 44 45 50 54 55 60 66 75 90 99 100 108 110 132 135 150 165 180 198 220 225 270 275 297 300 330 396 450 495 540 550 594 660 675 825 900 990 1100 1188 1350 1485 1493 1650 1980 2475 2700 2970 2986 3300 4479 4950 5940 5972 7425 7465 8958 9900 13437 14850 14930 16423 17916 22395 26874 29700 29860 32846 37325 40311 44790 49269 53748 65692 67185 74650 80622 82115 89580 98538 111975 134370 147807 149300 161244 164230 197076 201555 223950 246345 268740 295614 328460 335925 403110 410575 443421 447900 492690 591228 671850 739035 806220 821150 886842 985380 1007775 1231725 1343700 1478070 1642300 1773684 2015550 2217105 2463450 2956140 3695175 4031100 4434210 4926900 7390350 8868420 11085525 14780700 22171050 44342100