Search a number
-
+
325442000 = 24531312517
BaseRepresentation
bin10011011001011…
…101100111010000
3211200101011111102
4103121131213100
51131303121000
652143203532
711031132332
oct2331354720
9750334442
10325442000
11157781434
1290ba65a8
1352568240
1431317452
151d8873d5
hex1365d9d0

325442000 has 80 divisors (see below), whose sum is σ = 847518672. Its totient is φ = 120153600.

The previous prime is 325441997. The next prime is 325442023. The reversal of 325442000 is 244523.

It can be written as a sum of positive squares in 8 ways, for example, as 84198976 + 241243024 = 9176^2 + 15532^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19742 + ... + 32258.

Almost surely, 2325442000 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 325442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423759336).

325442000 is an abundant number, since it is smaller than the sum of its proper divisors (522076672).

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

325442000 is a wasteful number, since it uses less digits than its factorization.

325442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12553 (or 12537 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 325442000 is about 18040.0110864711. The cubic root of 325442000 is about 687.8459746243.

Adding to 325442000 its reverse (244523), we get a palindrome (325686523).

It can be divided in two parts, 3254 and 42000, that added together give a palindrome (45254).

The spelling of 325442000 in words is "three hundred twenty-five million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 12517 13000 25034 26000 50068 62585 100136 125170 162721 200272 250340 312925 325442 500680 625850 650884 813605 1001360 1251700 1301768 1564625 1627210 2503400 2603536 3129250 3254420 4068025 5006800 6258500 6508840 8136050 12517000 13017680 16272100 20340125 25034000 32544200 40680250 65088400 81360500 162721000 325442000