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325305540 = 2232571715187
BaseRepresentation
bin10011011000111…
…100010011000100
3211200010020022100
4103120330103010
51131234234130
652140232100
711030023440
oct2330742304
9750106270
10325305540
1115769895a
1290b3b630
135251b0b1
14312bd820
151d85bc60
hex1363c4c4

325305540 has 144 divisors (see below), whose sum is σ = 1194141312. Its totient is φ = 69977088.

The previous prime is 325305511. The next prime is 325305559. The reversal of 325305540 is 45503523.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13827 + ... + 29013.

It is an arithmetic number, because the mean of its divisors is an integer number (8292648).

Almost surely, 2325305540 is an apocalyptic number.

325305540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325305540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597070656).

325305540 is an abundant number, since it is smaller than the sum of its proper divisors (868835772).

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

325305540 is a wasteful number, since it uses less digits than its factorization.

325305540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15226 (or 15221 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 325305540 is about 18036.2285414662. The cubic root of 325305540 is about 687.7498217164.

The spelling of 325305540 in words is "three hundred twenty-five million, three hundred five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2380 3060 3570 4284 5355 7140 10710 15187 21420 30374 45561 60748 75935 91122 106309 136683 151870 182244 212618 227805 258179 273366 303740 318927 425236 455610 516358 531545 546732 637854 683415 774537 911220 956781 1032716 1063090 1275708 1290895 1366830 1549074 1594635 1807253 1913562 2126180 2323611 2581790 2733660 3098148 3189270 3614506 3827124 3872685 4647222 4783905 5163580 5421759 6378540 7229012 7745370 9036265 9294444 9567810 10843518 11618055 15490740 16265277 18072530 19135620 21687036 23236110 27108795 32530554 36145060 46472220 54217590 65061108 81326385 108435180 162652770 325305540