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305330043540 = 2235791093831543
BaseRepresentation
bin1000111000101110001…
…01101011101010010100
31002012002222100021221010
410130113011223222110
520000303442343130
6352133334252220
731026235356024
oct4342705535224
91065088307833
10305330043540
11108542938965
124b2124b7070
1322a3c177022
1410ac6d97a84
157e205ab0b0
hex471716ba94

305330043540 has 192 divisors, whose sum is σ = 876537446400. Its totient is φ = 79393706496.

The previous prime is 305330043523. The next prime is 305330043569. The reversal of 305330043540 is 45340033503.

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 = 305330043498 and 305330043507.

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, 197880009 + ... + 197881551.

It is an arithmetic number, because the mean of its divisors is an integer number (4565299200).

Almost surely, 2305330043540 is an apocalyptic number.

305330043540 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 305330043540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438268723200).

305330043540 is an abundant number, since it is smaller than the sum of its proper divisors (571207402860).

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

305330043540 is a wasteful number, since it uses less digits than its factorization.

305330043540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 30.

The spelling of 305330043540 in words is "three hundred five billion, three hundred thirty million, forty-three thousand, five hundred forty".