Base | Representation |
---|---|
bin | 10100100110000… |
… | …001101000000000 |
3 | 220002010211222100 |
4 | 110212001220000 |
5 | 1201422344243 |
6 | 54141310400 |
7 | 11363543631 |
oct | 2446015000 |
9 | 802124870 |
10 | 345512448 |
11 | 16803a686 |
12 | 97865400 |
13 | 56774748 |
14 | 33c5d888 |
15 | 204ee0d3 |
hex | 14981a00 |
345512448 has 120 divisors (see below), whose sum is σ = 1008755748. Its totient is φ = 113836032.
The previous prime is 345512393. The next prime is 345512449. The reversal of 345512448 is 844215543.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 317124864 + 28387584 = 17808^2 + 5328^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (345512449) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 446590 + ... + 447362.
Almost surely, 2345512448 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 345512448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504377874).
345512448 is an abundant number, since it is smaller than the sum of its proper divisors (663243300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
345512448 is an equidigital number, since it uses as much as digits as its factorization.
345512448 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 894 (or 875 counting only the distinct ones).
The product of its digits is 76800, while the sum is 36.
The square root of 345512448 is about 18587.9651387665. The cubic root of 345512448 is about 701.7049920734.
The spelling of 345512448 in words is "three hundred forty-five million, five hundred twelve thousand, four hundred forty-eight".
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