| Base | Representation |
|---|---|
| bin | 10010001111001… |
| … | …010101110010000 |
| 3 | 210022201200101220 |
| 4 | 102033022232100 |
| 5 | 1111311402333 |
| 6 | 50205525040 |
| 7 | 10403445030 |
| oct | 2217125620 |
| 9 | 708650356 |
| 10 | 305965968 |
| 11 | 147789840 |
| 12 | 86573780 |
| 13 | 4b509469 |
| 14 | 2c8c78c0 |
| 15 | 1bcdb8b3 |
| hex | 123cab90 |
305965968 has 160 divisors (see below), whose sum is σ = 1037552640. Its totient is φ = 75271680.
The previous prime is 305965967. The next prime is 305965969. The reversal of 305965968 is 869569503.
It is an interprime number because it is at equal distance from previous prime (305965967) and next prime (305965969).
It is a super-3 number, since 3×3059659683 (a number of 26 digits) contains 333 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 305965968.
It is not an unprimeable number, because it can be changed into a prime (305965963) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68046 + ... + 72402.
It is an arithmetic number, because the mean of its divisors is an integer number (6484704).
Almost surely, 2305965968 is an apocalyptic number.
305965968 is a gapful number since it is divisible by the number (38) 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 305965968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518776320).
305965968 is an abundant number, since it is smaller than the sum of its proper divisors (731586672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
305965968 is a wasteful number, since it uses less digits than its factorization.
305965968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4405 (or 4399 counting only the distinct ones).
The product of its (nonzero) digits is 1749600, while the sum is 51.
The square root of 305965968 is about 17491.8829175135. The cubic root of 305965968 is about 673.8414276493.
The spelling of 305965968 in words is "three hundred five million, nine hundred sixty-five thousand, nine hundred sixty-eight".
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