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103444000 = 2553112351
BaseRepresentation
bin1100010101001…
…10111000100000
321012122111111021
412022212320200
5202440202000
614133055224
72364155002
oct612467040
9235574437
10103444000
1153434010
122a787514
131857b28a
14da4a372
15913511a
hex62a6e20

103444000 has 96 divisors (see below), whose sum is σ = 277385472. Its totient is φ = 37600000.

The previous prime is 103443973. The next prime is 103444007. The reversal of 103444000 is 444301.

It is a super-2 number, since 2×1034440002 = 21401322272000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (103444007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 42825 + ... + 45175.

It is an arithmetic number, because the mean of its divisors is an integer number (2889432).

Almost surely, 2103444000 is an apocalyptic number.

103444000 is a gapful number since it is divisible by the number (10) 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 103444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138692736).

103444000 is an abundant number, since it is smaller than the sum of its proper divisors (173941472).

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

103444000 is a wasteful number, since it uses less digits than its factorization.

103444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 103444000 is about 10170.7423524539. The cubic root of 103444000 is about 469.4273998638.

Adding to 103444000 its reverse (444301), we get a palindrome (103888301).

The spelling of 103444000 in words is "one hundred three million, four hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2351 2750 4000 4400 4702 5500 8800 9404 11000 11755 18808 22000 23510 25861 37616 44000 47020 51722 58775 75232 94040 103444 117550 129305 188080 206888 235100 258610 293875 376160 413776 470200 517220 587750 646525 827552 940400 1034440 1175500 1293050 1880800 2068880 2351000 2586100 3232625 4137760 4702000 5172200 6465250 9404000 10344400 12930500 20688800 25861000 51722000 103444000