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540003324 = 223721396607
BaseRepresentation
bin100000001011111…
…100101111111100
31101122010000022010
4200023330233330
52101220101244
6125330051220
716244644500
oct4013745774
91348100263
10540003324
112578aa543
12130a19b10
1387b502c3
1451a0a300
153261aeb9
hex202fcbfc

540003324 has 72 divisors (see below), whose sum is σ = 1476491520. Its totient is φ = 153153504.

The previous prime is 540003301. The next prime is 540003349. The reversal of 540003324 is 423300045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 540003324.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78429 + ... + 85035.

Almost surely, 2540003324 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 540003324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738245760).

540003324 is an abundant number, since it is smaller than the sum of its proper divisors (936488196).

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

540003324 is a wasteful number, since it uses less digits than its factorization.

540003324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6767 (or 6758 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 540003324 is about 23237.9715982269. The cubic root of 540003324 is about 814.3269558499.

Adding to 540003324 its reverse (423300045), we get a palindrome (963303369).

The spelling of 540003324 in words is "five hundred forty million, three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 139 147 196 278 294 417 556 588 834 973 1668 1946 2919 3892 5838 6607 6811 11676 13214 13622 19821 20433 26428 27244 39642 40866 46249 79284 81732 92498 138747 184996 277494 323743 554988 647486 918373 971229 1294972 1836746 1942458 2755119 3673492 3884916 5510238 6428611 11020476 12857222 19285833 25714444 38571666 45000277 77143332 90000554 135000831 180001108 270001662 540003324