Search a number
-
+
325044000 = 2532539029
BaseRepresentation
bin10011010111111…
…100011100100000
3211122121221112200
4103113330130200
51131202402000
652130453200
711024554101
oct2327743440
9748557480
10325044000
1115752a406
1290a34200
1352459038
14312523a8
151d809500
hex135fc720

325044000 has 144 divisors (see below), whose sum is σ = 1153708920. Its totient is φ = 86668800.

The previous prime is 325043969. The next prime is 325044011. The reversal of 325044000 is 440523.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 213276816 + 111767184 = 14604^2 + 10572^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31486 + ... + 40514.

Almost surely, 2325044000 is an apocalyptic number.

325044000 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 325044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576854460).

325044000 is an abundant number, since it is smaller than the sum of its proper divisors (828664920).

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

325044000 is a wasteful number, since it uses less digits than its factorization.

325044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9060 (or 9039 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 325044000 is about 18028.9766764506. The cubic root of 325044000 is about 687.5654593319.

Adding to 325044000 its reverse (440523), we get a palindrome (325484523).

The spelling of 325044000 in words is "three hundred twenty-five million, forty-four thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 450 480 500 600 720 750 800 900 1000 1125 1200 1440 1500 1800 2000 2250 2400 3000 3600 4000 4500 6000 7200 9000 9029 12000 18000 18058 27087 36000 36116 45145 54174 72232 81261 90290 108348 135435 144464 162522 180580 216696 225725 270870 288928 325044 361160 406305 433392 451450 541740 650088 677175 722320 812610 866784 902900 1083480 1128625 1300176 1354350 1444640 1625220 1805800 2031525 2166960 2257250 2600352 2708700 3250440 3385875 3611600 4063050 4333920 4514500 5417400 6500880 6771750 7223200 8126100 9029000 10157625 10834800 13001760 13543500 16252200 18058000 20315250 21669600 27087000 32504400 36116000 40630500 54174000 65008800 81261000 108348000 162522000 325044000