Search a number
-
+
43401040 = 2451134801
BaseRepresentation
bin1010010110001…
…1111101010000
310000200000000221
42211203331100
542102313130
64150122424
71034621434
oct245437520
9100600027
1043401040
1122553931
1212650414
138cb78b7
145a9a9c4
153c2487a
hex2963f50

43401040 has 40 divisors (see below), whose sum is σ = 101821608. Its totient is φ = 17203200.

The previous prime is 43401031. The next prime is 43401047. The reversal of 43401040 is 4010434.

43401040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 51984 + 43349056 = 228^2 + 6584^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43401047) 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 7 ways as a sum of consecutive naturals, for example, 6640 + ... + 11440.

Almost surely, 243401040 is an apocalyptic number.

43401040 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 43401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50910804).

43401040 is an abundant number, since it is smaller than the sum of its proper divisors (58420568).

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

43401040 is a wasteful number, since it uses less digits than its factorization.

43401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4927 (or 4921 counting only the distinct ones).

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

The square root of 43401040 is about 6587.9465693037. The cubic root of 43401040 is about 351.4255869111.

Adding to 43401040 its reverse (4010434), we get a palindrome (47411474).

The spelling of 43401040 in words is "forty-three million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 4801 9040 9602 19204 24005 38408 48010 76816 96020 192040 384080 542513 1085026 2170052 2712565 4340104 5425130 8680208 10850260 21700520 43401040