Base | Representation |
---|---|
bin | 10011111101000… |
… | …010100101010000 |
3 | 212022221000000000 |
4 | 103331002211100 |
5 | 1141200042324 |
6 | 53115130000 |
7 | 11203325232 |
oct | 2375024520 |
9 | 768830000 |
10 | 334768464 |
11 | 161a71558 |
12 | 94143900 |
13 | 54482364 |
14 | 32664252 |
15 | 1e5ca9c9 |
hex | 13f42950 |
334768464 has 100 divisors (see below), whose sum is σ = 973819616. Its totient is φ = 111484512.
The previous prime is 334768463. The next prime is 334768487. The reversal of 334768464 is 464867433.
It is a super-2 number, since 2×3347684642 = 224139848977838592, which contains 22 as substring.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (334768463) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 314397 + ... + 315459.
Almost surely, 2334768464 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 334768464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486909808).
334768464 is an abundant number, since it is smaller than the sum of its proper divisors (639051152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
334768464 is an frugal number, since it uses more digits than its factorization.
334768464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1098 (or 1068 counting only the distinct ones).
The product of its digits is 1161216, while the sum is 45.
The square root of 334768464 is about 18296.6790429302. The cubic root of 334768464 is about 694.3549137376.
The spelling of 334768464 in words is "three hundred thirty-four million, seven hundred sixty-eight thousand, four hundred sixty-four".
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