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541344132 = 2232721110181
BaseRepresentation
bin100000010001000…
…100000110000100
31101201122010112200
4200101010012010
52102041003012
6125414514500
716262230530
oct4021040604
91351563480
10541344132
1125863594a
12131365a30
13881cc694
1451c78bc0
15327d33dc
hex20444184

541344132 has 72 divisors (see below), whose sum is σ = 1571449152. Its totient is φ = 153921600.

The previous prime is 541344119. The next prime is 541344187. The reversal of 541344132 is 231443145.

It is a happy number.

It is a super-3 number, since 3×5413441323 (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 541344096 and 541344105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48082 + ... + 58262.

Almost surely, 2541344132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541344132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785724576).

541344132 is an abundant number, since it is smaller than the sum of its proper divisors (1030105020).

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

541344132 is a wasteful number, since it uses less digits than its factorization.

541344132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10409 (or 10404 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 541344132 is about 23266.8032183194. The cubic root of 541344132 is about 815.0003798912. Note that the first 3 decimals are identical.

Adding to 541344132 its reverse (231443145), we get a palindrome (772787277).

The spelling of 541344132 in words is "five hundred forty-one million, three hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 211 252 422 633 844 1266 1477 1899 2532 2954 3798 4431 5908 7596 8862 10181 13293 17724 20362 26586 30543 40724 53172 61086 71267 91629 122172 142534 183258 213801 285068 366516 427602 641403 855204 1282806 2148191 2565612 4296382 6444573 8592764 12889146 15037337 19333719 25778292 30074674 38667438 45112011 60149348 77334876 90224022 135336033 180448044 270672066 541344132