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540405324 = 223311344281
BaseRepresentation
bin100000001101011…
…110111001001100
31101122212102202000
4200031132321030
52101320432244
6125342432300
716251240504
oct4015367114
91348772660
10540405324
11258054578
12130b92690
1387c61284
1451ab2a04
153269a169
hex2035ee4c

540405324 has 48 divisors (see below), whose sum is σ = 1413481440. Its totient is φ = 178536960.

The previous prime is 540405191. The next prime is 540405329. The reversal of 540405324 is 423504045.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (540405329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9937 + ... + 34344.

It is an arithmetic number, because the mean of its divisors is an integer number (29447530).

Almost surely, 2540405324 is an apocalyptic number.

540405324 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

540405324 is an abundant number, since it is smaller than the sum of its proper divisors (873076116).

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

540405324 is a wasteful number, since it uses less digits than its factorization.

540405324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44407 (or 44399 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 540405324 is about 23246.6196252272. The cubic root of 540405324 is about 814.5289782092.

Adding to 540405324 its reverse (423504045), we get a palindrome (963909369).

The spelling of 540405324 in words is "five hundred forty million, four hundred five thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 226 339 452 678 1017 1356 2034 3051 4068 6102 12204 44281 88562 132843 177124 265686 398529 531372 797058 1195587 1594116 2391174 4782348 5003753 10007506 15011259 20015012 30022518 45033777 60045036 90067554 135101331 180135108 270202662 540405324