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543354240 = 273511131979
BaseRepresentation
bin100000011000101…
…110110110000000
31101212102020220010
4200120232312000
52103044313430
6125525544520
716315302102
oct4030566600
91355366803
10543354240
112597890a0
12131b75140
13887545b0
145223d572
1532a7dcb0
hex2062ed80

543354240 has 256 divisors, whose sum is σ = 2035756800. Its totient is φ = 121528320.

The previous prime is 543354223. The next prime is 543354269. The reversal of 543354240 is 42453345.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 543354198 and 543354207.

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 31 ways as a sum of consecutive naturals, for example, 273571 + ... + 275549.

It is an arithmetic number, because the mean of its divisors is an integer number (7952175).

Almost surely, 2543354240 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 543354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017878400).

543354240 is an abundant number, since it is smaller than the sum of its proper divisors (1492402560).

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

543354240 is a wasteful number, since it uses less digits than its factorization.

543354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 543354240 is about 23309.9601029260. The cubic root of 543354240 is about 816.0078815079.

The spelling of 543354240 in words is "five hundred forty-three million, three hundred fifty-four thousand, two hundred forty".