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43400104 = 231119101257
BaseRepresentation
bin1010010110001…
…1101110101000
310000122221202021
42211203232220
542102300404
64150114224
71034615626
oct245435650
9100587667
1043400104
1122553160
121264b974
138cb7347
145a9a516
153c24454
hex2963ba8

43400104 has 64 divisors (see below), whose sum is σ = 94737600. Its totient is φ = 18432000.

The previous prime is 43400101. The next prime is 43400107. The reversal of 43400104 is 40100434.

43400104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (43400101) and next prime (43400107).

It is not an unprimeable number, because it can be changed into a prime (43400101) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 168744 + ... + 169000.

It is an arithmetic number, because the mean of its divisors is an integer number (1480275).

Almost surely, 243400104 is an apocalyptic number.

43400104 is a gapful number since it is divisible by the number (44) 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 43400104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47368800).

43400104 is an abundant number, since it is smaller than the sum of its proper divisors (51337496).

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

43400104 is a wasteful number, since it uses less digits than its factorization.

43400104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 390 counting only the distinct ones).

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

The square root of 43400104 is about 6587.8755300931. The cubic root of 43400104 is about 351.4230605760.

Adding to 43400104 its reverse (40100434), we get a palindrome (83500538).

The spelling of 43400104 in words is "forty-three million, four hundred thousand, one hundred four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 101 152 202 209 257 404 418 514 808 836 1028 1111 1672 1919 2056 2222 2827 3838 4444 4883 5654 7676 8888 9766 11308 15352 19532 21109 22616 25957 39064 42218 51914 53713 84436 103828 107426 168872 207656 214852 285527 429704 493183 571054 986366 1142108 1972732 2284216 3945464 5425013 10850026 21700052 43400104