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41134320 = 2432557131
BaseRepresentation
bin1001110011101…
…0100011110000
32212101211200100
42130322203300
541012244240
64025352400
71006431063
oct234724360
985354610
1041134320
1121245907
1211938700
1386a2c46
14566a8da
153927e30
hex273a8f0

41134320 has 60 divisors (see below), whose sum is σ = 138145176. Its totient is φ = 10968960.

The previous prime is 41134279. The next prime is 41134321. The reversal of 41134320 is 2343114.

41134320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 41134293 and 41134302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41134321) 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 11 ways as a sum of consecutive naturals, for example, 27846 + ... + 29285.

Almost surely, 241134320 is an apocalyptic number.

41134320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41134320 is an abundant number, since it is smaller than the sum of its proper divisors (97010856).

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

41134320 is a wasteful number, since it uses less digits than its factorization.

41134320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57150 (or 57141 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 41134320 is about 6413.6042908804. The cubic root of 41134320 is about 345.1978701095.

Adding to 41134320 its reverse (2343114), we get a palindrome (43477434).

The spelling of 41134320 in words is "forty-one million, one hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 57131 114262 171393 228524 285655 342786 457048 514179 571310 685572 856965 914096 1028358 1142620 1371144 1713930 2056716 2285240 2570895 2742288 3427860 4113432 4570480 5141790 6855720 8226864 10283580 13711440 20567160 41134320