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43134240 = 2535731231
BaseRepresentation
bin1010010010001…
…0110100100000
310000011110001110
42210202310200
542020243430
64140303320
71032430542
oct244426440
9100143043
1043134240
1122391436
1212541b40
138c23326
145a2b692
153bc07b0
hex2922d20

43134240 has 96 divisors (see below), whose sum is σ = 137846016. Its totient is φ = 11335680.

The previous prime is 43134233. The next prime is 43134271. The reversal of 43134240 is 4243134.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34425 + ... + 35655.

It is an arithmetic number, because the mean of its divisors is an integer number (1435896).

Almost surely, 243134240 is an apocalyptic number.

43134240 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 43134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68923008).

43134240 is an abundant number, since it is smaller than the sum of its proper divisors (94711776).

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

43134240 is a wasteful number, since it uses less digits than its factorization.

43134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 43134240 is about 6567.6662521782. Note that the first 3 decimals coincide. The cubic root of 43134240 is about 350.7039979790.

Adding to 43134240 its reverse (4243134), we get a palindrome (47377374).

The spelling of 43134240 in words is "forty-three million, one hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 73 80 96 120 146 160 219 240 292 365 438 480 584 730 876 1095 1168 1231 1460 1752 2190 2336 2462 2920 3504 3693 4380 4924 5840 6155 7008 7386 8760 9848 11680 12310 14772 17520 18465 19696 24620 29544 35040 36930 39392 49240 59088 73860 89863 98480 118176 147720 179726 196960 269589 295440 359452 449315 539178 590880 718904 898630 1078356 1347945 1437808 1797260 2156712 2695890 2875616 3594520 4313424 5391780 7189040 8626848 10783560 14378080 21567120 43134240