| Base | Representation |
|---|---|
| bin | 1010000100001010001… |
| … | …10011101010000000000 |
| 3 | 1020001122111222220200000 |
| 4 | 11002011012131100000 |
| 5 | 21131230043233310 |
| 6 | 422512230400000 |
| 7 | 33662000201250 |
| oct | 5020506352000 |
| 9 | 1201574886600 |
| 10 | 345830446080 |
| 11 | 1237362a8819 |
| 12 | 57035b00000 |
| 13 | 267c4ac2962 |
| 14 | 12a49bc3960 |
| 15 | 8ee0e8a4c0 |
| hex | 508519d400 |
345830446080 has 528 divisors, whose sum is σ = 1420235456640. Its totient is φ = 79044968448.
The previous prime is 345830446051. The next prime is 345830446109. The reversal of 345830446080 is 80644038543.
345830446080 is a `hidden beast` number, since 3 + 4 + 5 + 8 + 30 + 4 + 4 + 608 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (345830446051) and next prime (345830446109).
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8689266 + ... + 8728974.
It is an arithmetic number, because the mean of its divisors is an integer number (2689839880).
Almost surely, 2345830446080 is an apocalyptic number.
345830446080 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 345830446080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710117728320).
345830446080 is an abundant number, since it is smaller than the sum of its proper divisors (1074405010560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
345830446080 is an equidigital number, since it uses as much as digits as its factorization.
345830446080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 39756 (or 39726 counting only the distinct ones).
The product of its (nonzero) digits is 1105920, while the sum is 45.
It can be divided in two parts, 3458304 and 46080, that added together give a square (3504384 = 18722).
The spelling of 345830446080 in words is "three hundred forty-five billion, eight hundred thirty million, four hundred forty-six thousand, eighty".
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