| Base | Representation |
|---|---|
| bin | 1010000100001100110… |
| … | …10011100110010000000 |
| 3 | 1020001201001102112221000 |
| 4 | 11002012122130302000 |
| 5 | 21131301212324011 |
| 6 | 422514334332000 |
| 7 | 33662355304215 |
| oct | 5020632346200 |
| 9 | 1201631375830 |
| 10 | 345852464256 |
| 11 | 123747777362 |
| 12 | 5704135a000 |
| 13 | 267c9531870 |
| 14 | 12a4cab5b0c |
| 15 | 8ee2d89356 |
| hex | 508669cc80 |
345852464256 has 256 divisors, whose sum is σ = 1100281996800. Its totient is φ = 106317619200.
The previous prime is 345852464239. The next prime is 345852464273. The reversal of 345852464256 is 652464258543.
345852464256 is a `hidden beast` number, since 3 + 4 + 5 + 8 + 524 + 64 + 2 + 56 = 666.
It is an interprime number because it is at equal distance from previous prime (345852464239) and next prime (345852464273).
It is a super-2 number, since 2×3458524642562 (a number of 24 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59616556 + ... + 59622356.
It is an arithmetic number, because the mean of its divisors is an integer number (4297976550).
Almost surely, 2345852464256 is an apocalyptic number.
345852464256 is a gapful number since it is divisible by the number (36) 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 345852464256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550140998400).
345852464256 is an abundant number, since it is smaller than the sum of its proper divisors (754429532544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
345852464256 is a wasteful number, since it uses less digits than its factorization.
345852464256 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7164 (or 7146 counting only the distinct ones).
The product of its digits is 27648000, while the sum is 54.
The spelling of 345852464256 in words is "three hundred forty-five billion, eight hundred fifty-two million, four hundred sixty-four thousand, two hundred fifty-six".
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