Search a number
-
+
43400112 = 2437373491
BaseRepresentation
bin1010010110001…
…1101110110000
310000122221202120
42211203232300
542102300422
64150114240
71034615640
oct245435660
9100587676
1043400112
1122553168
121264b980
138cb7352
145a9a520
153c2445c
hex2963bb0

43400112 has 80 divisors (see below), whose sum is σ = 131634432. Its totient is φ = 12061440.

The previous prime is 43400111. The next prime is 43400131. The reversal of 43400112 is 21100434.

43400112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×434001123 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 43400091 and 43400100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43400111) 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, 10687 + ... + 14177.

Almost surely, 243400112 is an apocalyptic number.

43400112 is a gapful number since it is divisible by the number (42) 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 43400112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65817216).

43400112 is an abundant number, since it is smaller than the sum of its proper divisors (88234320).

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

43400112 is a wasteful number, since it uses less digits than its factorization.

43400112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 43400112 is about 6587.8761372691. The cubic root of 43400112 is about 351.4230821688.

Adding to 43400112 its reverse (21100434), we get a palindrome (64500546).

The spelling of 43400112 in words is "forty-three million, four hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 518 592 777 888 1036 1554 1776 2072 3108 3491 4144 6216 6982 10473 12432 13964 20946 24437 27928 41892 48874 55856 73311 83784 97748 129167 146622 167568 195496 258334 293244 387501 390992 516668 586488 775002 904169 1033336 1172976 1550004 1808338 2066672 2712507 3100008 3616676 5425014 6200016 7233352 10850028 14466704 21700056 43400112