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103440000 = 27354431
BaseRepresentation
bin1100010101001…
…01111010000000
321012122022000010
412022211322000
5202440040000
614133024520
72364140226
oct612457200
9235568003
10103440000
1153431004
122a785140
1318579501
14da48b16
159133d50
hex62a5e80

103440000 has 160 divisors (see below), whose sum is σ = 344139840. Its totient is φ = 27520000.

The previous prime is 103439989. The next prime is 103440017. The reversal of 103440000 is 44301.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 19 ways as a sum of consecutive naturals, for example, 239785 + ... + 240215.

It is an arithmetic number, because the mean of its divisors is an integer number (2150874).

Almost surely, 2103440000 is an apocalyptic number.

103440000 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 103440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172069920).

103440000 is an abundant number, since it is smaller than the sum of its proper divisors (240699840).

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

103440000 is an frugal number, since it uses more digits than its factorization.

103440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 103440000 is about 10170.5457080729. The cubic root of 103440000 is about 469.4213491381.

Adding to 103440000 its reverse (44301), we get a palindrome (103484301).

The spelling of 103440000 in words is "one hundred three million, four hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 431 480 500 600 625 640 750 800 862 960 1000 1200 1250 1293 1500 1600 1724 1875 1920 2000 2155 2400 2500 2586 3000 3200 3448 3750 4000 4310 4800 5000 5172 6000 6465 6896 7500 8000 8620 9600 10000 10344 10775 12000 12930 13792 15000 16000 17240 20000 20688 21550 24000 25860 27584 30000 32325 34480 40000 41376 43100 48000 51720 53875 55168 60000 64650 68960 80000 82752 86200 103440 107750 120000 129300 137920 161625 165504 172400 206880 215500 240000 258600 269375 275840 323250 344800 413760 431000 517200 538750 646500 689600 808125 827520 862000 1034400 1077500 1293000 1379200 1616250 1724000 2068800 2155000 2586000 3232500 3448000 4137600 4310000 5172000 6465000 6896000 8620000 10344000 12930000 17240000 20688000 25860000 34480000 51720000 103440000