Base | Representation |
---|---|
bin | 10100100101000… |
… | …110011011000000 |
3 | 220001200112100000 |
4 | 110211012123000 |
5 | 1201342114302 |
6 | 54132200000 |
7 | 11361513636 |
oct | 2445063300 |
9 | 801615300 |
10 | 345269952 |
11 | 167994475 |
12 | 97769000 |
13 | 566bb261 |
14 | 33bd9356 |
15 | 204a231c |
hex | 149466c0 |
345269952 has 126 divisors (see below), whose sum is σ = 1033242028. Its totient is φ = 114317568.
The previous prime is 345269879. The next prime is 345269959. The reversal of 345269952 is 259962543.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
345269952 is a `hidden beast` number, since 34 + 526 + 9 + 95 + 2 = 666.
It is a super-2 number, since 2×3452699522 = 238422679508164608, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 345269898 and 345269907.
It is not an unprimeable number, because it can be changed into a prime (345269959) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2317174 + ... + 2317322.
Almost surely, 2345269952 is an apocalyptic number.
345269952 is a gapful number since it is divisible by the number (32) 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 345269952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516621014).
345269952 is an abundant number, since it is smaller than the sum of its proper divisors (687972076).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
345269952 is an frugal number, since it uses more digits than its factorization.
345269952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 325 (or 154 counting only the distinct ones).
The product of its digits is 583200, while the sum is 45.
The square root of 345269952 is about 18581.4410635989. The cubic root of 345269952 is about 701.5407910641.
The spelling of 345269952 in words is "three hundred forty-five million, two hundred sixty-nine thousand, nine hundred fifty-two".
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