Search a number
-
+
43103400 = 23352192199
BaseRepresentation
bin1010010001101…
…1010010101000
310000002212202020
42210123102220
542013302100
64135504440
71032241614
oct244332250
9100085666
1043103400
112237024a
1212528120
138c12292
145a20344
153bb65a0
hex291b4a8

43103400 has 144 divisors (see below), whose sum is σ = 141732000. Its totient is φ = 10834560.

The previous prime is 43103399. The next prime is 43103407. The reversal of 43103400 is 430134.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 43103400.

It is not an unprimeable number, because it can be changed into a prime (43103407) 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 35 ways as a sum of consecutive naturals, for example, 216501 + ... + 216699.

It is an arithmetic number, because the mean of its divisors is an integer number (984250).

Almost surely, 243103400 is an apocalyptic number.

43103400 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 43103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70866000).

43103400 is an abundant number, since it is smaller than the sum of its proper divisors (98628600).

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

43103400 is a wasteful number, since it uses less digits than its factorization.

43103400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 43103400 is about 6565.3179664050. The cubic root of 43103400 is about 350.6203962588.

Adding to 43103400 its reverse (430134), we get a palindrome (43533534).

The spelling of 43103400 in words is "forty-three million, one hundred three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 199 200 228 285 300 361 380 398 456 475 570 597 600 722 760 796 950 995 1083 1140 1194 1425 1444 1592 1805 1900 1990 2166 2280 2388 2850 2888 2985 3610 3781 3800 3980 4332 4776 4975 5415 5700 5970 7220 7562 7960 8664 9025 9950 10830 11343 11400 11940 14440 14925 15124 18050 18905 19900 21660 22686 23880 27075 29850 30248 36100 37810 39800 43320 45372 54150 56715 59700 71839 72200 75620 90744 94525 108300 113430 119400 143678 151240 189050 215517 216600 226860 283575 287356 359195 378100 431034 453720 567150 574712 718390 756200 862068 1077585 1134300 1436780 1724136 1795975 2155170 2268600 2873560 3591950 4310340 5387925 7183900 8620680 10775850 14367800 21551700 43103400