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325013040 = 243351113679
BaseRepresentation
bin10011010111110…
…100111000110000
3211122120101002000
4103113310320300
51131200404130
652130054000
711024364612
oct2327647060
9748511060
10325013040
11157509120
1290a1a300
1352447c11
1431244db2
151d800260
hex135f4e30

325013040 has 160 divisors (see below), whose sum is σ = 1221350400. Its totient is φ = 78785280.

The previous prime is 325013011. The next prime is 325013041. The reversal of 325013040 is 40310523.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (325013041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16921 + ... + 30599.

It is an arithmetic number, because the mean of its divisors is an integer number (7633440).

Almost surely, 2325013040 is an apocalyptic number.

325013040 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 325013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610675200).

325013040 is an abundant number, since it is smaller than the sum of its proper divisors (896337360).

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

325013040 is a wasteful number, since it uses less digits than its factorization.

325013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13712 (or 13700 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 325013040 is about 18028.1180382202. The cubic root of 325013040 is about 687.5436287464.

Adding to 325013040 its reverse (40310523), we get a palindrome (365323563).

It can be divided in two parts, 3250 and 13040, that added together give a triangular number (16290 = T180).

The spelling of 325013040 in words is "three hundred twenty-five million, thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4752 5940 7920 11880 13679 23760 27358 41037 54716 68395 82074 109432 123111 136790 150469 164148 205185 218864 246222 273580 300938 328296 369333 410370 451407 492444 547160 601876 615555 656592 738666 752345 820740 902814 984888 1094320 1203752 1231110 1354221 1477332 1504690 1641480 1805628 1846665 1969776 2257035 2407504 2462220 2708442 2954664 3009380 3282960 3611256 3693330 4062663 4514070 4924440 5416884 5909328 6018760 6771105 7222512 7386660 8125326 9028140 9848880 10833768 12037520 13542210 14773320 16250652 18056280 20313315 21667536 27084420 29546640 32501304 36112560 40626630 54168840 65002608 81253260 108337680 162506520 325013040