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240325000 = 23559613
BaseRepresentation
bin11100101001100…
…01000110001000
3121202012202220221
432110301012020
5443010400000
635502555424
75645504656
oct1624610610
9552182827
10240325000
11113725803
1268598b74
133aa35a56
1423cbbdd6
151617261a
hexe531188

240325000 has 48 divisors (see below), whose sum is σ = 563284260. Its totient is φ = 96120000.

The previous prime is 240324983. The next prime is 240325003. The reversal of 240325000 is 523042.

It can be written as a sum of positive squares in 6 ways, for example, as 12996 + 240312004 = 114^2 + 15502^2 .

It is a super-2 number, since 2×2403250002 = 115512211250000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (240325003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20194 + ... + 29806.

Almost surely, 2240325000 is an apocalyptic number.

240325000 is a gapful number since it is divisible by the number (20) 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 240325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281642130).

240325000 is an abundant number, since it is smaller than the sum of its proper divisors (322959260).

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

240325000 is an frugal number, since it uses more digits than its factorization.

240325000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9644 (or 9620 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 240325000 is about 15502.4191660528. The cubic root of 240325000 is about 621.7268887107.

Adding to 240325000 its reverse (523042), we get a palindrome (240848042).

The spelling of 240325000 in words is "two hundred forty million, three hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 6250 9613 12500 19226 25000 38452 48065 76904 96130 192260 240325 384520 480650 961300 1201625 1922600 2403250 4806500 6008125 9613000 12016250 24032500 30040625 48065000 60081250 120162500 240325000