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540233430 = 2351123109653
BaseRepresentation
bin100000001100110…
…100111011010110
31101122112200221120
4200030310323112
52101244432210
6125335024410
716246623402
oct4014647326
91348480846
10540233430
11257a47410
12130b0b106
1387c00c69
1451a6a102
1532664270
hex20334ed6

540233430 has 128 divisors (see below), whose sum is σ = 1491747840. Its totient is φ = 123932160.

The previous prime is 540233417. The next prime is 540233437. The reversal of 540233430 is 34332045.

540233430 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 540233430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540233437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 826984 + ... + 827636.

It is an arithmetic number, because the mean of its divisors is an integer number (11654280).

Almost surely, 2540233430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540233430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745873920).

540233430 is an abundant number, since it is smaller than the sum of its proper divisors (951514410).

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

540233430 is a wasteful number, since it uses less digits than its factorization.

540233430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806.

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 540233430 is about 23242.9221484735. The cubic root of 540233430 is about 814.4426063165.

Adding to 540233430 its reverse (34332045), we get a palindrome (574565475).

The spelling of 540233430 in words is "five hundred forty million, two hundred thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 109 110 115 138 165 218 230 253 327 330 345 506 545 653 654 690 759 1090 1199 1265 1306 1518 1635 1959 2398 2507 2530 3265 3270 3597 3795 3918 5014 5995 6530 7183 7194 7521 7590 9795 11990 12535 14366 15019 15042 17985 19590 21549 25070 27577 30038 35915 35970 37605 43098 45057 55154 71177 71830 75095 75210 82731 90114 107745 137885 142354 150190 165209 165462 213531 215490 225285 275770 330418 355885 413655 427062 450570 495627 711770 782947 826045 827310 991254 1067655 1565894 1637071 1652090 2135310 2348841 2478135 3274142 3914735 4697682 4911213 4956270 7829470 8185355 9822426 11744205 16370710 18007781 23488410 24556065 36015562 49112130 54023343 90038905 108046686 180077810 270116715 540233430