Base | Representation |
---|---|
bin | 10100100111011… |
… | …101011100100000 |
3 | 220002211221212211 |
4 | 110213131130200 |
5 | 1202021413134 |
6 | 54153331504 |
7 | 11400001261 |
oct | 2447353440 |
9 | 802757784 |
10 | 345888544 |
11 | 168277201 |
12 | 97a06b94 |
13 | 568769a1 |
14 | 33d1a968 |
15 | 20575764 |
hex | 149dd720 |
345888544 has 48 divisors (see below), whose sum is σ = 701205120. Its totient is φ = 167880960.
The previous prime is 345888541. The next prime is 345888553. The reversal of 345888544 is 445888543.
It is not an unprimeable number, because it can be changed into a prime (345888541) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153087 + ... + 155329.
It is an arithmetic number, because the mean of its divisors is an integer number (14608440).
Almost surely, 2345888544 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 345888544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350602560).
345888544 is an abundant number, since it is smaller than the sum of its proper divisors (355316576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
345888544 is a wasteful number, since it uses less digits than its factorization.
345888544 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2393 (or 2385 counting only the distinct ones).
The product of its digits is 2457600, while the sum is 49.
The square root of 345888544 is about 18598.0790405891. The cubic root of 345888544 is about 701.9595055686.
Subtracting 345888544 from its reverse (445888543), we obtain a palindrome (99999999).
The spelling of 345888544 in words is "three hundred forty-five million, eight hundred eighty-eight thousand, five hundred forty-four".
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