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541343320 = 23573375737
BaseRepresentation
bin100000010001000…
…011111001011000
31101201122002102121
4200101003321120
52102040441240
6125414511024
716262225260
oct4021037130
91351562377
10541343320
11258635281
12131365474
13881cc1bb
1451c787a0
15327d304a
hex20443e58

541343320 has 64 divisors (see below), whose sum is σ = 1396399680. Its totient is φ = 185020416.

The previous prime is 541343303. The next prime is 541343339. The reversal of 541343320 is 23343145.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91492 + ... + 97228.

It is an arithmetic number, because the mean of its divisors is an integer number (21818745).

Almost surely, 2541343320 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 541343320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698199840).

541343320 is an abundant number, since it is smaller than the sum of its proper divisors (855056360).

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

541343320 is a wasteful number, since it uses less digits than its factorization.

541343320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6092 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 541343320 is about 23266.7857685586. The cubic root of 541343320 is about 814.9999723989. Note that the first 4 decimals are identical.

Adding to 541343320 its reverse (23343145), we get a palindrome (564686465).

The spelling of 541343320 in words is "five hundred forty-one million, three hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 337 674 1348 1685 2359 2696 3370 4718 5737 6740 9436 11474 11795 13480 18872 22948 23590 28685 40159 45896 47180 57370 80318 94360 114740 160636 200795 229480 321272 401590 803180 1606360 1933369 3866738 7733476 9666845 13533583 15466952 19333690 27067166 38667380 54134332 67667915 77334760 108268664 135335830 270671660 541343320