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330244234140 = 2235176725718803
BaseRepresentation
bin1001100111001000001…
…01110001101110011100
31011120102021210022101010
410303210011301232130
520402320010443030
6411413452015220
732600521450152
oct4634405615634
91146367708333
10330244234140
11118068296027
1254006161510
13251ac997b42
1411dabba53d2
1588cc97d6b0
hex4ce4171b9c

330244234140 has 192 divisors, whose sum is σ = 997609665024. Its totient is φ = 81325719552.

The previous prime is 330244234127. The next prime is 330244234163. The reversal of 330244234140 is 41432442033.

It is a happy number.

It is a super-2 number, since 2×3302442341402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 330244234098 and 330244234107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17553979 + ... + 17572781.

It is an arithmetic number, because the mean of its divisors is an integer number (5195883672).

Almost surely, 2330244234140 is an apocalyptic number.

330244234140 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 330244234140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498804832512).

330244234140 is an abundant number, since it is smaller than the sum of its proper divisors (667365430884).

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

330244234140 is a wasteful number, since it uses less digits than its factorization.

330244234140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19156 (or 19154 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 330244234140 its reverse (41432442033), we get a palindrome (371676676173).

The spelling of 330244234140 in words is "three hundred thirty billion, two hundred forty-four million, two hundred thirty-four thousand, one hundred forty".