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44378040 = 23357232297
BaseRepresentation
bin1010100101001…
…0011110111000
310002111122020010
42221102132320
542330044130
64223101520
71046131020
oct251223670
9102448203
1044378040
1123060973
1212a418a0
13926a4c5
145c72a80
153d690b0
hex2a527b8

44378040 has 128 divisors (see below), whose sum is σ = 158837760. Its totient is φ = 9698304.

The previous prime is 44378039. The next prime is 44378051. The reversal of 44378040 is 4087344.

44378040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 44377989 and 44378007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18172 + ... + 20468.

It is an arithmetic number, because the mean of its divisors is an integer number (1240920).

Almost surely, 244378040 is an apocalyptic number.

44378040 is a gapful number since it is divisible by the number (40) 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 44378040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79418880).

44378040 is an abundant number, since it is smaller than the sum of its proper divisors (114459720).

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

44378040 is a wasteful number, since it uses less digits than its factorization.

44378040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 44378040 is about 6661.6844716633. The cubic root of 44378040 is about 354.0430219984.

The spelling of 44378040 in words is "forty-four million, three hundred seventy-eight thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 28 30 35 40 42 46 56 60 69 70 84 92 105 115 120 138 140 161 168 184 210 230 276 280 322 345 420 460 483 552 644 690 805 840 920 966 1288 1380 1610 1932 2297 2415 2760 3220 3864 4594 4830 6440 6891 9188 9660 11485 13782 16079 18376 19320 22970 27564 32158 34455 45940 48237 52831 55128 64316 68910 80395 91880 96474 105662 128632 137820 158493 160790 192948 211324 241185 264155 275640 316986 321580 369817 385896 422648 482370 528310 633972 643160 739634 792465 964740 1056620 1109451 1267944 1479268 1584930 1849085 1929480 2113240 2218902 2958536 3169860 3698170 4437804 5547255 6339720 7396340 8875608 11094510 14792680 22189020 44378040