Base | Representation |
---|---|
bin | 10011111011010… |
… | …110010100110000 |
3 | 212022002110201220 |
4 | 103323112110300 |
5 | 1141041400130 |
6 | 53101425040 |
7 | 11166500400 |
oct | 2373262460 |
9 | 768073656 |
10 | 334325040 |
11 | 161799395 |
12 | 93b6b180 |
13 | 5435858a |
14 | 3258a800 |
15 | 1e53e410 |
hex | 13ed6530 |
334325040 has 120 divisors (see below), whose sum is σ = 1205659440. Its totient is φ = 76414464.
The previous prime is 334325039. The next prime is 334325041. The reversal of 334325040 is 40523433.
It is an interprime number because it is at equal distance from previous prime (334325039) and next prime (334325041).
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×3343250402 = 223546464742003200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 334325040.
It is not an unprimeable number, because it can be changed into a prime (334325041) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2455 + ... + 25974.
It is an arithmetic number, because the mean of its divisors is an integer number (10047162).
Almost surely, 2334325040 is an apocalyptic number.
334325040 is a gapful number since it is divisible by the number (30) 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 334325040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602829720).
334325040 is an abundant number, since it is smaller than the sum of its proper divisors (871334400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
334325040 is a wasteful number, since it uses less digits than its factorization.
334325040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 28459 (or 28446 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 24.
The square root of 334325040 is about 18284.5574187619. The cubic root of 334325040 is about 694.0482045653.
Adding to 334325040 its reverse (40523433), we get a palindrome (374848473).
The spelling of 334325040 in words is "three hundred thirty-four million, three hundred twenty-five thousand, forty".
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