| Base | Representation |
|---|---|
| bin | 10100100110100… |
| … | …101010100100000 |
| 3 | 220002102021112110 |
| 4 | 110212211110200 |
| 5 | 1201442034111 |
| 6 | 54144355320 |
| 7 | 11365023120 |
| oct | 2446452440 |
| 9 | 802367473 |
| 10 | 345658656 |
| 11 | 16812a512 |
| 12 | 97915b40 |
| 13 | 567c6165 |
| 14 | 33c9ac80 |
| 15 | 2052c5a6 |
| hex | 149a5520 |
345658656 has 96 divisors (see below), whose sum is σ = 1072794240. Its totient is φ = 95348736.
The previous prime is 345658619. The next prime is 345658657. The reversal of 345658656 is 656856543.
345658656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a hoax number, since the sum of its digits (48) 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 (48).
It is not an unprimeable number, because it can be changed into a prime (345658657) 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 15 ways as a sum of consecutive naturals, for example, 10620 + ... + 28356.
It is an arithmetic number, because the mean of its divisors is an integer number (11174940).
Almost surely, 2345658656 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 345658656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536397120).
345658656 is an abundant number, since it is smaller than the sum of its proper divisors (727135584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
345658656 is a wasteful number, since it uses less digits than its factorization.
345658656 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17786 (or 17778 counting only the distinct ones).
The product of its digits is 2592000, while the sum is 48.
The square root of 345658656 is about 18591.8975900794. The cubic root of 345658656 is about 701.8039565883.
The spelling of 345658656 in words is "three hundred forty-five million, six hundred fifty-eight thousand, six hundred fifty-six".
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